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225757120 = 265705491
BaseRepresentation
bin11010111010011…
…00011111000000
3120201210122112211
431131030133000
5430243211440
634222431504
75410622011
oct1535143700
9521718484
10225757120
11106485736
1263732594
1337a04cc4
1421da9008
1514c45eea
hexd74c7c0

225757120 has 28 divisors (see below), whose sum is σ = 537584904. Its totient is φ = 90302720.

The previous prime is 225757109. The next prime is 225757139. The reversal of 225757120 is 21757522.

225757120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352426 + ... + 353065.

Almost surely, 2225757120 is an apocalyptic number.

225757120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225757120 is an abundant number, since it is smaller than the sum of its proper divisors (311827784).

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

225757120 is an equidigital number, since it uses as much as digits as its factorization.

225757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705508 (or 705498 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 225757120 is about 15025.2161382125. The cubic root of 225757120 is about 608.9016515895.

The spelling of 225757120 in words is "two hundred twenty-five million, seven hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 705491 1410982 2821964 3527455 5643928 7054910 11287856 14109820 22575712 28219640 45151424 56439280 112878560 225757120