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10989225 = 3252132172
BaseRepresentation
bin101001111010…
…111010101001
3202200022101100
4221322322221
510303123400
61031312013
7162256362
oct51727251
922608340
1010989225
116226405
12381b609
132379c00
141660b69
15e71100
hexa7aea9

10989225 has 81 divisors (see below), whose sum is σ = 22640943. Its totient is φ = 5091840.

The previous prime is 10989203. The next prime is 10989229. The reversal of 10989225 is 52298901.

The square root of 10989225 is 3315.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8003241 + 2985984 = 2829^2 + 1728^2 .

It is not a de Polignac number, because 10989225 - 211 = 10987177 is a prime.

It is a super-2 number, since 2×109892252 = 241526132201250, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10989225.

It is not an unprimeable number, because it can be changed into a prime (10989229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 646417 + ... + 646433.

Almost surely, 210989225 is an apocalyptic number.

10989225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10989225 is the 3315-th square number.

10989225 is the 1658-th centered octagonal number.

It is an amenable number.

10989225 is an abundant number, since it is smaller than the sum of its proper divisors (11651718).

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

10989225 is a wasteful number, since it uses less digits than its factorization.

10989225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 10989225 is about 222.3253690141.

Multiplying 10989225 by its sum of digits (36), we get a square (395612100 = 198902).

The spelling of 10989225 in words is "ten million, nine hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 169 195 221 225 255 289 325 425 507 585 663 765 845 867 975 1105 1275 1445 1521 1989 2535 2601 2873 2925 3315 3757 3825 4225 4335 5525 7225 7605 8619 9945 11271 12675 13005 14365 16575 18785 21675 25857 33813 38025 43095 48841 49725 56355 65025 71825 93925 129285 146523 169065 215475 244205 281775 439569 646425 732615 845325 1221025 2197845 3663075 10989225