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225130880 = 2751327059
BaseRepresentation
bin11010110101100…
…11100110000000
3120200121211111202
431122303212000
5430113142010
634201200332
75402403152
oct1532634600
9520554452
10225130880
11106098187
12634900a8
1337845c50
1421c84ad2
1514b706a5
hexd6b3980

225130880 has 64 divisors (see below), whose sum is σ = 579625200. Its totient is φ = 83122176.

The previous prime is 225130879. The next prime is 225130901. The reversal of 225130880 is 88031522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5210 + ... + 21849.

Almost surely, 2225130880 is an apocalyptic number.

225130880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225130880 is an abundant number, since it is smaller than the sum of its proper divisors (354494320).

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

225130880 is a wasteful number, since it uses less digits than its factorization.

225130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27091 (or 27079 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 225130880 is about 15004.3620324224. The cubic root of 225130880 is about 608.3381083422.

The spelling of 225130880 in words is "two hundred twenty-five million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 27059 54118 108236 135295 216472 270590 351767 432944 541180 703534 865888 1082360 1407068 1731776 1758835 2164720 2814136 3463552 3517670 4329440 5628272 7035340 8658880 11256544 14070680 17317760 22513088 28141360 45026176 56282720 112565440 225130880