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225738560 = 2652330671
BaseRepresentation
bin11010111010001…
…11111101000000
3120201202201002102
431131013331000
5430242113220
634222205532
75410513625
oct1535077500
9521681072
10225738560
111064727a3
12637238a8
13379c9718
1421da234c
1514c40775
hexd747f40

225738560 has 56 divisors (see below), whose sum is σ = 560929536. Its totient is φ = 86366720.

The previous prime is 225738547. The next prime is 225738571. The reversal of 225738560 is 65837522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7976 + ... + 22695.

Almost surely, 2225738560 is an apocalyptic number.

225738560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225738560 is an abundant number, since it is smaller than the sum of its proper divisors (335190976).

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

225738560 is a wasteful number, since it uses less digits than its factorization.

225738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30711 (or 30701 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 225738560 is about 15024.5984971313. The cubic root of 225738560 is about 608.8849647413.

The spelling of 225738560 in words is "two hundred twenty-five million, seven hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 30671 61342 122684 153355 245368 306710 490736 613420 705433 981472 1226840 1410866 1962944 2453680 2821732 3527165 4907360 5643464 7054330 9814720 11286928 14108660 22573856 28217320 45147712 56434640 112869280 225738560