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22102226406 = 23313191657087
BaseRepresentation
bin10100100101011001…
…010011010111100110
32010001100020102202000
4110211121103113212
5330231132221111
614053103230130
71411466552601
oct244531232746
963040212660
1022102226406
119412148917
124349ba8346
132113094ca0
1410d9591338
158955c2c56
hex5256535e6

22102226406 has 64 divisors (see below), whose sum is σ = 55678156800. Its totient is φ = 6442750368.

The previous prime is 22102226383. The next prime is 22102226411. The reversal of 22102226406 is 60462220122.

It is a happy number.

22102226406 is a `hidden beast` number, since 2 + 2 + 10 + 2 + 2 + 2 + 640 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22102226406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815206 + ... + 841881.

It is an arithmetic number, because the mean of its divisors is an integer number (869971200).

Almost surely, 222102226406 is an apocalyptic number.

22102226406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22102226406 is an abundant number, since it is smaller than the sum of its proper divisors (33575930394).

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

22102226406 is a wasteful number, since it uses less digits than its factorization.

22102226406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657130 (or 1657124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22102226406 its reverse (60462220122), we get a palindrome (82564446528).

The spelling of 22102226406 in words is "twenty-two billion, one hundred two million, two hundred twenty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 1657087 3314174 4971261 9942522 14913783 21542131 29827566 31484653 43084262 44741349 62969306 64626393 89482698 94453959 129252786 188907918 193879179 283361877 387758358 409300489 566723754 581637537 818600978 850085631 1163275074 1227901467 1700171262 2455802934 3683704401 7367408802 11051113203 22102226406