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22275737055 = 32511132266281
BaseRepresentation
bin10100101111101111…
…001100010111011111
32010111102201200121100
4110233233030113133
5331110042041210
614122222204143
71416004432545
oct245757142737
963442650540
1022275737055
1194a1088a50
124398123653
132140006200
141114639d95
158a59485c0
hex52fbcc5df

22275737055 has 72 divisors (see below), whose sum is σ = 45610911216. Its totient is φ = 9969523200.

The previous prime is 22275737021. The next prime is 22275737083. The reversal of 22275737055 is 55073757222.

22275737055 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 573 + 70 + 5 + 5 = 666.

It is not a de Polignac number, because 22275737055 - 218 = 22275474911 is a prime.

It is a super-2 number, since 2×222757370552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 22275737055.

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 71 ways as a sum of consecutive naturals, for example, 49486 + ... + 216795.

It is an arithmetic number, because the mean of its divisors is an integer number (633484878).

Almost surely, 222275737055 is an apocalyptic number.

22275737055 is an abundant number, since it is smaller than the sum of its proper divisors (23335174161).

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

22275737055 is a wasteful number, since it uses less digits than its factorization.

22275737055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266329 (or 266313 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 22275737055 in words is "twenty-two billion, two hundred seventy-five million, seven hundred thirty-seven thousand, fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 169 195 429 495 507 585 715 845 1287 1521 1859 2145 2535 5577 6435 7605 9295 16731 27885 83655 266281 798843 1331405 2396529 2929091 3461653 3994215 8787273 10384959 11982645 14645455 17308265 26361819 31154877 38078183 43936365 45001489 51924795 114234549 131809095 135004467 155774385 190390915 225007445 342703647 405013401 495016379 571172745 675022335 1485049137 1713518235 2025067005 2475081895 4455147411 7425245685 22275737055