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22432104421164 = 22323035512052749
BaseRepresentation
bin1010001100110111000011…
…00111011001011100101100
32221102111011221000022010100
411012123201213121130230
510420011422212434124
6115413055544311100
74503444313346334
oct506334147313454
987374157008110
1022432104421164
117169447161a99
1226235aa472490
13c69452526849
14577a109d60c4
1528d79cec31c9
hex1466e19d972c

22432104421164 has 36 divisors (see below), whose sum is σ = 56703589488000. Its totient is φ = 7477339864800.

The previous prime is 22432104421159. The next prime is 22432104421169. The reversal of 22432104421164 is 46112440123422.

22432104421164 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 210 + 4 + 421 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22432104421159) and next prime (22432104421169).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×224321044211642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22432104421169) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9901462 + ... + 11954210.

It is an arithmetic number, because the mean of its divisors is an integer number (1575099708000).

Almost surely, 222432104421164 is an apocalyptic number.

It is an amenable number.

22432104421164 is an abundant number, since it is smaller than the sum of its proper divisors (34271485066836).

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

22432104421164 is a wasteful number, since it uses less digits than its factorization.

22432104421164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356310 (or 2356305 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 22432104421164 its reverse (46112440123422), we get a palindrome (68544544544586).

The spelling of 22432104421164 in words is "twenty-two trillion, four hundred thirty-two billion, one hundred four million, four hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 303551 607102 910653 1214204 1821306 2052749 2731959 3642612 4105498 5463918 6158247 8210996 10927836 12316494 18474741 24632988 36949482 73898964 623114011699 1246228023398 1869342035097 2492456046796 3738684070194 5608026105291 7477368140388 11216052210582 22432104421164