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225712600 = 23527611483
BaseRepresentation
bin11010111010000…
…01100111011000
3120201201101110221
431131001213120
5430240300400
634221445424
75410345141
oct1535014730
9521641427
10225712600
11106455243
1263710874
13379ba969
1421d96ac8
1514c37c1a
hexd7419d8

225712600 has 48 divisors (see below), whose sum is σ = 525825720. Its totient is φ = 90105600.

The previous prime is 225712589. The next prime is 225712601. The reversal of 225712600 is 6217522.

225712600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225712601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151459 + ... + 152941.

Almost surely, 2225712600 is an apocalyptic number.

225712600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225712600 is an abundant number, since it is smaller than the sum of its proper divisors (300113120).

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

225712600 is a wasteful number, since it uses less digits than its factorization.

225712600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 225712600 is about 15023.7345556955. The cubic root of 225712600 is about 608.8616231972.

The spelling of 225712600 in words is "two hundred twenty-five million, seven hundred twelve thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 761 1483 1522 2966 3044 3805 5932 6088 7415 7610 11864 14830 15220 19025 29660 30440 37075 38050 59320 74150 76100 148300 152200 296600 1128563 2257126 4514252 5642815 9028504 11285630 22571260 28214075 45142520 56428150 112856300 225712600