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22322113130040 = 23351071738482331
BaseRepresentation
bin1010001001101010001011…
…00111111010111000111000
32221000222021102222210002020
411010311011213322320320
510411211141430130130
6115250345345234440
74462501525660233
oct504650547727070
987028242883066
1022322113130040
117126833a1aaa9
122606212632a20
13c5bc73a88929
14572578a3c41a
1528a9b1a4ae10
hex144d459fae38

22322113130040 has 64 divisors (see below), whose sum is σ = 67592193068160. Its totient is φ = 5896932063360.

The previous prime is 22322113130039. The next prime is 22322113130059. The reversal of 22322113130040 is 4003131122322.

It is a super-3 number, since 3×223221131300403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869228326 + ... + 869254005.

It is an arithmetic number, because the mean of its divisors is an integer number (1056128016690).

Almost surely, 222322113130040 is an apocalyptic number.

22322113130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322113130040 is an abundant number, since it is smaller than the sum of its proper divisors (45270079938120).

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

22322113130040 is a wasteful number, since it uses less digits than its factorization.

22322113130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738482452 (or 1738482448 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22322113130040 its reverse (4003131122322), we get a palindrome (26325244252362).

The spelling of 22322113130040 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred thirteen million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 1738482331 3476964662 5215446993 6953929324 8692411655 10430893986 13907858648 17384823310 20861787972 26077234965 34769646620 41723575944 52154469930 69539293240 104308939860 186017609417 208617879720 372035218834 558052828251 744070437668 930088047085 1116105656502 1488140875336 1860176094170 2232211313004 2790264141255 3720352188340 4464422626008 5580528282510 7440704376680 11161056565020 22322113130040