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12722325 = 3527112203
BaseRepresentation
bin110000100010…
…000010010101
3212221100202020
4300202002111
511224103300
61132403353
7213065220
oct60420225
925840666
1012722325
1171aa520
124316559
132835a05
1419925b7
1511b48a0
hexc22095

12722325 has 48 divisors (see below), whose sum is σ = 26236416. Its totient is φ = 5284800.

The previous prime is 12722321. The next prime is 12722351. The reversal of 12722325 is 52322721.

It is a happy number.

It is not a de Polignac number, because 12722325 - 22 = 12722321 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12722295 and 12722304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12722321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674 + ... + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (546592).

Almost surely, 212722325 is an apocalyptic number.

12722325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12722325 is an abundant number, since it is smaller than the sum of its proper divisors (13514091).

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

12722325 is a wasteful number, since it uses less digits than its factorization.

12722325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2229 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 12722325 is about 3566.8368339469. The cubic root of 12722325 is about 233.4472856103.

The spelling of 12722325 in words is "twelve million, seven hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 2203 5775 6609 11015 15421 24233 33045 46263 55075 72699 77105 121165 165225 169631 231315 363495 385525 508893 605825 848155 1156575 1817475 2544465 4240775 12722325