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10217394225 = 325245410641
BaseRepresentation
bin10011000010000000…
…10001000000110001
3222101001211101221100
421201000101000301
5131411123103400
64405510115013
7511124263233
oct114100210061
928331741840
1010217394225
1143734a8565
121b9194ba69
13c6aa54acc
146ccd92253
153ec001100
hex261011031

10217394225 has 18 divisors (see below), whose sum is σ = 18300488726. Its totient is φ = 5449276800.

The previous prime is 10217394223. The next prime is 10217394277. The reversal of 10217394225 is 52249371201.

10217394225 is a `hidden beast` number, since 10 + 217 + 3 + 9 + 422 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1361831409 + 8855562816 = 36903^2 + 94104^2 .

It is not a de Polignac number, because 10217394225 - 21 = 10217394223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10217394225.

It is not an unprimeable number, because it can be changed into a prime (10217394223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22705096 + ... + 22705545.

Almost surely, 210217394225 is an apocalyptic number.

10217394225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10217394225 is a deficient number, since it is larger than the sum of its proper divisors (8083094501).

10217394225 is a wasteful number, since it uses less digits than its factorization.

10217394225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45410657 (or 45410649 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10217394225 in words is "ten billion, two hundred seventeen million, three hundred ninety-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 45410641 136231923 227053205 408695769 681159615 1135266025 2043478845 3405798075 10217394225