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2022410231040 = 28353971326623
BaseRepresentation
bin11101011011100001000…
…010110001110100000000
321011100012020122112122010
4131123201002301310000
5231113344004343130
64145025450012520
7266054132216433
oct35334102616400
97140166575563
102022410231040
1170a776940091
12287b59117140
1311893539a704
146dc56cd981a
153791a6410b0
hex1d6e10b1d00

2022410231040 has 144 divisors (see below), whose sum is σ = 6475347260928. Its totient is φ = 537950527488.

The previous prime is 2022410231033. The next prime is 2022410231047. The reversal of 2022410231040 is 401320142202.

It is an interprime number because it is at equal distance from previous prime (2022410231033) and next prime (2022410231047).

It is a junction number, because it is equal to n+sod(n) for n = 2022410230998 and 2022410231016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022410231047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861169 + ... + 2187791.

It is an arithmetic number, because the mean of its divisors is an integer number (44967689312).

Almost surely, 22022410231040 is an apocalyptic number.

2022410231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022410231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237673630464).

2022410231040 is an abundant number, since it is smaller than the sum of its proper divisors (4452937029888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022410231040 is a wasteful number, since it uses less digits than its factorization.

2022410231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327044 (or 1327030 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2022410231040 its reverse (401320142202), we get a palindrome (2423730373242).

The spelling of 2022410231040 in words is "two trillion, twenty-two billion, four hundred ten million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 397 480 640 768 794 960 1191 1280 1588 1920 1985 2382 3176 3840 3970 4764 5955 6352 7940 9528 11910 12704 15880 19056 23820 25408 31760 38112 47640 50816 63520 76224 95280 101632 127040 152448 190560 254080 304896 381120 508160 762240 1326623 1524480 2653246 3979869 5306492 6633115 7959738 10612984 13266230 15919476 19899345 21225968 26532460 31838952 39798690 42451936 53064920 63677904 79597380 84903872 106129840 127355808 159194760 169807744 212259680 254711616 318389520 339615488 424519360 509423232 526669331 636779040 849038720 1018846464 1053338662 1273558080 1580007993 1698077440 2106677324 2547116160 2633346655 3160015986 4213354648 5094232320 5266693310 6320031972 7900039965 8426709296 10533386620 12640063944 15800079930 16853418592 21066773240 25280127888 31600159860 33706837184 42133546480 50560255776 63200319720 67413674368 84267092960 101120511552 126400639440 134827348736 168534185920 202241023104 252801278880 337068371840 404482046208 505602557760 674136743680 1011205115520 2022410231040