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13225884 = 2237283271
BaseRepresentation
bin110010011100…
…111110011100
3220212221111120
4302130332130
511341212014
61151250540
7220263300
oct62347634
926787446
1013225884
117513891
124519a50
132980c89
141a83d00
151263ba9
hexc9cf9c

13225884 has 72 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 3719520.

The previous prime is 13225873. The next prime is 13225931. The reversal of 13225884 is 48852231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48669 + ... + 48939.

It is an arithmetic number, because the mean of its divisors is an integer number (506464).

Almost surely, 213225884 is an apocalyptic number.

13225884 is a gapful number since it is divisible by the number (14) 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 13225884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704).

13225884 is an abundant number, since it is smaller than the sum of its proper divisors (23239524).

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

13225884 is a wasteful number, since it uses less digits than its factorization.

13225884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 13225884 is about 3636.7408486171. The cubic root of 13225884 is about 236.4875251731.

The spelling of 13225884 in words is "thirteen million, two hundred twenty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 271 294 332 498 542 581 588 813 996 1084 1162 1626 1743 1897 2324 3252 3486 3794 4067 5691 6972 7588 8134 11382 12201 13279 16268 22493 22764 24402 26558 39837 44986 48804 53116 67479 79674 89972 134958 157451 159348 269916 314902 472353 629804 944706 1102157 1889412 2204314 3306471 4408628 6612942 13225884