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2265602625 = 3253111314083
BaseRepresentation
bin1000011100001010…
…0101101001000001
312211220010112112100
42013002211221001
514114443241000
61012451421013
7110100206316
oct20702455101
95756115470
102265602625
11a62967870
125328b4769
132a14c0790
14176c76d0d
15d3d79a00
hex870a5a41

2265602625 has 96 divisors (see below), whose sum is σ = 4798475136. Its totient is φ = 1013904000.

The previous prime is 2265602593. The next prime is 2265602627. The reversal of 2265602625 is 5262065622.

2265602625 is a `hidden beast` number, since 2 + 26 + 5 + 6 + 0 + 2 + 625 = 666.

It is not a de Polignac number, because 2265602625 - 25 = 2265602593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2265602625.

It is not an unprimeable number, because it can be changed into a prime (2265602627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153834 + ... + 167916.

It is an arithmetic number, because the mean of its divisors is an integer number (49984116).

Almost surely, 22265602625 is an apocalyptic number.

2265602625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2265602625 is an abundant number, since it is smaller than the sum of its proper divisors (2532872511).

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

2265602625 is a wasteful number, since it uses less digits than its factorization.

2265602625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14115 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2265602625 is about 47598.3468725543. The cubic root of 2265602625 is about 1313.3926444666.

The spelling of 2265602625 in words is "two billion, two hundred sixty-five million, six hundred two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 125 143 165 195 225 275 325 375 429 495 585 715 825 975 1125 1287 1375 1625 2145 2475 2925 3575 4125 4875 6435 10725 12375 14083 14625 17875 32175 42249 53625 70415 126747 154913 160875 183079 211245 352075 464739 549237 633735 774565 915395 1056225 1394217 1647711 1760375 2013869 2323695 2746185 3168675 3872825 4576975 5281125 6041607 6971085 8238555 10069345 11618475 13730925 15843375 18124821 19364125 22884875 30208035 34855425 41192775 50346725 58092375 68654625 90624105 151040175 174277125 205963875 251733625 453120525 755200875 2265602625