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225038660 = 225711197691
BaseRepresentation
bin11010110100111…
…01000101000100
3120200110011000012
431122131011010
5430102214120
634155205352
75401540250
oct1532350504
9520404005
10225038660
11106034970
1263446858
1337812c92
1421c5d260
1514b531c5
hexd69d144

225038660 has 96 divisors (see below), whose sum is σ = 620282880. Its totient is φ = 66441600.

The previous prime is 225038659. The next prime is 225038677. The reversal of 225038660 is 66830522.

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 31 ways as a sum of consecutive naturals, for example, 25415 + ... + 33105.

It is an arithmetic number, because the mean of its divisors is an integer number (6461280).

Almost surely, 2225038660 is an apocalyptic number.

225038660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225038660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310141440).

225038660 is an abundant number, since it is smaller than the sum of its proper divisors (395244220).

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

225038660 is a wasteful number, since it uses less digits than its factorization.

225038660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 225038660 is about 15001.2886113160. The cubic root of 225038660 is about 608.2550328111.

The spelling of 225038660 in words is "two hundred twenty-five million, thirty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 7691 14630 15382 29260 30764 38455 53837 76910 84601 107674 146129 153820 169202 215348 269185 292258 338404 423005 538370 584516 592207 730645 846010 1022903 1076740 1184414 1461290 1607419 1692020 2045806 2368828 2922580 2961035 3214838 4091612 5114515 5922070 6429676 8037095 10229030 11251933 11844140 16074190 20458060 22503866 32148380 45007732 56259665 112519330 225038660