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225518670 = 232513214827
BaseRepresentation
bin11010111000100…
…10010001001110
3120201100112110100
431130102101032
5430213044140
634213351530
75405606556
oct1534222116
9521315410
10225518670
11106332573
12636385a6
1337950600
1421d46166
1514bea530
hexd71244e

225518670 has 72 divisors (see below), whose sum is σ = 634964616. Its totient is φ = 55508544.

The previous prime is 225518669. The next prime is 225518687. The reversal of 225518670 is 76815522.

It is a happy number.

225518670 is a `hidden beast` number, since 22 + 551 + 86 + 7 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7797 + ... + 22623.

It is an arithmetic number, because the mean of its divisors is an integer number (8818953).

Almost surely, 2225518670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225518670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317482308).

225518670 is an abundant number, since it is smaller than the sum of its proper divisors (409445946).

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

225518670 is a wasteful number, since it uses less digits than its factorization.

225518670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866 (or 14850 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225518670 is about 15017.2790478169. The cubic root of 225518670 is about 608.6871973012.

The spelling of 225518670 in words is "two hundred twenty-five million, five hundred eighteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 14827 15210 29654 44481 74135 88962 133443 148270 192751 222405 266886 385502 444810 578253 667215 963755 1156506 1334430 1734759 1927510 2505763 2891265 3469518 5011526 5782530 7517289 8673795 12528815 15034578 17347590 22551867 25057630 37586445 45103734 75172890 112759335 225518670