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225328680 = 23325625913
BaseRepresentation
bin11010110111000…
…11111000101000
3120200222212211200
431123203320220
5430141004210
634205324200
75404155633
oct1533437050
9520885750
10225328680
11106212855
1263566660
13378b4ca5
1421cd6c1a
1514bae0c0
hexd6e3e28

225328680 has 48 divisors (see below), whose sum is σ = 732319380. Its totient is φ = 60087552.

The previous prime is 225328679. The next prime is 225328699. The reversal of 225328680 is 86823522.

It can be written as a sum of positive squares in 2 ways, for example, as 223024356 + 2304324 = 14934^2 + 1518^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 312597 + ... + 313316.

Almost surely, 2225328680 is an apocalyptic number.

225328680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225328680 is an abundant number, since it is smaller than the sum of its proper divisors (506990700).

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

225328680 is a wasteful number, since it uses less digits than its factorization.

225328680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625930 (or 625923 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225328680 is about 15010.9520017886. The cubic root of 225328680 is about 608.5162181519.

The spelling of 225328680 in words is "two hundred twenty-five million, three hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 625913 1251826 1877739 2503652 3129565 3755478 5007304 5633217 6259130 7510956 9388695 11266434 12518260 15021912 18777390 22532868 25036520 28166085 37554780 45065736 56332170 75109560 112664340 225328680