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22009740606 = 23371034571237
BaseRepresentation
bin10100011111111000…
…011111110100111110
32002210220012200002000
4110133320133310332
5330033443144411
614040001043130
71406264464650
oct243770376476
962726180060
1022009740606
119374a19977
1243230264a6
1320c9b82769
1410cb1986d0
1588c404956
hex51fe1fd3e

22009740606 has 128 divisors (see below), whose sum is σ = 56609679360. Its totient is φ = 6208793856.

The previous prime is 22009740601. The next prime is 22009740607. The reversal of 22009740606 is 60604790022.

It is a happy number.

22009740606 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 9 + 7 + 40 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22009740601) 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 63 ways as a sum of consecutive naturals, for example, 17792220 + ... + 17793456.

It is an arithmetic number, because the mean of its divisors is an integer number (442263120).

Almost surely, 222009740606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22009740606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304839680).

22009740606 is an abundant number, since it is smaller than the sum of its proper divisors (34599938754).

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

22009740606 is a wasteful number, since it uses less digits than its factorization.

22009740606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22009740606 in words is "twenty-two billion, nine million, seven hundred forty thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 309 378 457 618 721 914 927 1237 1371 1442 1854 2163 2474 2742 2781 3199 3711 4113 4326 5562 6398 6489 7422 8226 8659 9597 11133 12339 12978 17318 19194 19467 22266 24678 25977 28791 33399 38934 47071 51954 57582 66798 77931 86373 94142 127411 141213 155862 172746 233793 254822 282426 329497 382233 423639 467586 565309 658994 764466 847278 891877 988491 1130618 1146699 1270917 1695927 1783754 1976982 2293398 2541834 2675631 2965473 3391854 3440097 3957163 5087781 5351262 5930946 6880194 7914326 8026893 8896419 10175562 11871489 15263343 16053786 17792838 23742978 24080679 30526686 35614467 48161358 58226827 71228934 106843401 116453654 174680481 213686802 349360962 407587789 524041443 815175578 1048082886 1222763367 1572124329 2445526734 3144248658 3668290101 7336580202 11004870303 22009740606