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655207164 = 2233231911381
BaseRepresentation
bin100111000011011…
…010101011111100
31200122212222021000
4213003122223330
52320213112124
6145003210300
722144111653
oct4703325374
91618788230
10655207164
11306935927
12163516990
13a5988161
146303819a
153c7c56c9
hex270daafc

655207164 has 96 divisors (see below), whose sum is σ = 1783111680. Its totient is φ = 207662400.

The previous prime is 655207159. The next prime is 655207169. The reversal of 655207164 is 461702556.

It is a happy number.

655207164 is a `hidden beast` number, since 6 + 5 + 520 + 71 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (655207159) and next prime (655207169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655207169) 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, 473754 + ... + 475134.

It is an arithmetic number, because the mean of its divisors is an integer number (18574080).

Almost surely, 2655207164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655207164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891555840).

655207164 is an abundant number, since it is smaller than the sum of its proper divisors (1127904516).

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

655207164 is a wasteful number, since it uses less digits than its factorization.

655207164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 655207164 is about 25597.0147478178. The cubic root of 655207164 is about 868.5461091553.

The spelling of 655207164 in words is "six hundred fifty-five million, two hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 191 207 276 382 414 573 621 764 828 1146 1242 1381 1719 2292 2484 2762 3438 4143 4393 5157 5524 6876 8286 8786 10314 12429 13179 16572 17572 20628 24858 26358 31763 37287 39537 49716 52716 63526 74574 79074 95289 118611 127052 149148 158148 190578 237222 263771 285867 381156 474444 527542 571734 791313 857601 1055084 1143468 1582626 1715202 2373939 3165252 3430404 4747878 6066733 7121817 9495756 12133466 14243634 18200199 24266932 28487268 36400398 54600597 72800796 109201194 163801791 218402388 327603582 655207164