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22364920461 = 3136779108343
BaseRepresentation
bin10100110101000011…
…011001101010001101
32010201122112200020110
4110311003121222031
5331300404423321
614135125510233
71421136454512
oct246503315215
963648480213
1022364920461
119537461844
124401b72379
132155630560
141122413309
158ad6b3176
hex5350d9a8d

22364920461 has 32 divisors (see below), whose sum is σ = 33005916160. Its totient is φ = 13385870784.

The previous prime is 22364920451. The next prime is 22364920477. The reversal of 22364920461 is 16402946322.

It is not a de Polignac number, because 22364920461 - 26 = 22364920397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22364920421) 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 31 ways as a sum of consecutive naturals, for example, 152256 + ... + 260598.

It is an arithmetic number, because the mean of its divisors is an integer number (1031434880).

Almost surely, 222364920461 is an apocalyptic number.

It is an amenable number.

22364920461 is a deficient number, since it is larger than the sum of its proper divisors (10640995699).

22364920461 is a wasteful number, since it uses less digits than its factorization.

22364920461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108505.

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 22364920461 in words is "twenty-two billion, three hundred sixty-four million, nine hundred twenty thousand, four hundred sixty-one".

Divisors: 1 3 13 39 67 79 201 237 871 1027 2613 3081 5293 15879 68809 108343 206427 325029 1408459 4225377 7258981 8559097 21776943 25677291 94366753 111268261 283100259 333804783 573459499 1720378497 7454973487 22364920461