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225338274180 = 223251251879301
BaseRepresentation
bin1101000111011100110…
…1010011000110000100
3210112122012201101020200
43101313031103012010
512142443044233210
6251304033130500
722165043504325
oct3216715230604
9715565641220
10225338274180
1187624643668
12378093b9a30
1318331964616
14ac9936244c
155cdcbb60c0
hex3477353184

225338274180 has 36 divisors (see below), whose sum is σ = 683526098892. Its totient is φ = 60090206400.

The previous prime is 225338274167. The next prime is 225338274223. The reversal of 225338274180 is 81472833522.

225338274180 is a `hidden beast` number, since 2 + 25 + 3 + 382 + 74 + 180 = 666.

225338274180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105645801024 + 119692473156 = 325032^2 + 345966^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625939471 + ... + 625939830.

Almost surely, 2225338274180 is an apocalyptic number.

225338274180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225338274180 is an abundant number, since it is smaller than the sum of its proper divisors (458187824712).

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

225338274180 is a wasteful number, since it uses less digits than its factorization.

225338274180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251879316 (or 1251879311 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 225338274180 in words is "two hundred twenty-five billion, three hundred thirty-eight million, two hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1251879301 2503758602 3755637903 5007517204 6259396505 7511275806 11266913709 12518793010 15022551612 18778189515 22533827418 25037586020 37556379030 45067654836 56334568545 75112758060 112669137090 225338274180