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225727960 = 23541137639
BaseRepresentation
bin11010111010001…
…01010111011000
3120201202011112211
431131011113120
5430241243320
634222044504
75410441003
oct1535052730
9521664484
10225727960
11106465837
1263719734
13379c4953
1421d9c53a
1514c3c55a
hexd7455d8

225727960 has 32 divisors (see below), whose sum is σ = 520279200. Its totient is φ = 88088320.

The previous prime is 225727927. The next prime is 225727963. The reversal of 225727960 is 69727522.

It is a super-2 number, since 2×2257279602 = 101906223851523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225727963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67180 + ... + 70459.

It is an arithmetic number, because the mean of its divisors is an integer number (16258725).

Almost surely, 2225727960 is an apocalyptic number.

225727960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225727960 is an abundant number, since it is smaller than the sum of its proper divisors (294551240).

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

225727960 is a wasteful number, since it uses less digits than its factorization.

225727960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137691 (or 137687 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 225727960 is about 15024.2457381394. The cubic root of 225727960 is about 608.8754341267.

The spelling of 225727960 in words is "two hundred twenty-five million, seven hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 137639 275278 550556 688195 1101112 1376390 2752780 5505560 5643199 11286398 22572796 28215995 45145592 56431990 112863980 225727960