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2122010440 = 2351119435903
BaseRepresentation
bin111111001111011…
…0100111101001000
312110212221022002021
41332132310331020
513321213313230
6550322014224
7103404535234
oct17636647510
95425838067
102122010440
11999901940
124b27a7374
1327a8263a4
14161b795c4
15c6463c7a
hex7e7b4f48

2122010440 has 128 divisors (see below), whose sum is σ = 5611161600. Its totient is φ = 713905920.

The previous prime is 2122010377. The next prime is 2122010491. The reversal of 2122010440 is 440102212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356529 + ... + 362431.

It is an arithmetic number, because the mean of its divisors is an integer number (43837200).

Almost surely, 22122010440 is an apocalyptic number.

2122010440 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 2122010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805580800).

2122010440 is an abundant number, since it is smaller than the sum of its proper divisors (3489151160).

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

2122010440 is a wasteful number, since it uses less digits than its factorization.

2122010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2122010440 is about 46065.2845427009. The cubic root of 2122010440 is about 1285.0376103695.

Adding to 2122010440 its reverse (440102212), we get a palindrome (2562112652).

The spelling of 2122010440 in words is "two billion, one hundred twenty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 43 44 55 76 86 88 95 110 152 172 190 209 215 220 344 380 418 430 440 473 760 817 836 860 946 1045 1634 1672 1720 1892 2090 2365 3268 3784 4085 4180 4730 5903 6536 8170 8360 8987 9460 11806 16340 17974 18920 23612 29515 32680 35948 44935 47224 59030 64933 71896 89870 112157 118060 129866 179740 224314 236120 253829 259732 324665 359480 448628 507658 519464 560785 649330 897256 1015316 1121570 1233727 1269145 1298660 2030632 2243140 2467454 2538290 2597320 2792119 4486280 4822751 4934908 5076580 5584238 6168635 9645502 9869816 10153160 11168476 12337270 13960595 19291004 22336952 24113755 24674540 27921190 38582008 48227510 49349080 53050261 55842380 96455020 106100522 111684760 192910040 212201044 265251305 424402088 530502610 1061005220 2122010440