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9328662225 = 32524721372
BaseRepresentation
bin10001011000000100…
…00001011011010001
3220002010112010211100
420230002001123101
5123101114142400
64141401335013
7450113214651
oct105402013321
926063463740
109328662225
113a57872003
121984197469
13b588a519c
14646d2a361
15398e9d100
hex22c0816d1

9328662225 has 81 divisors (see below), whose sum is σ = 17197258897. Its totient is φ = 4833886080.

The previous prime is 9328662223. The next prime is 9328662247. The reversal of 9328662225 is 5222668239.

The square root of 9328662225 is 96585.

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

9328662225 is a `hidden beast` number, since 93 + 286 + 62 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27217089 + 9301445136 = 5217^2 + 96444^2 .

It is not a de Polignac number, because 9328662225 - 21 = 9328662223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (622080) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (9328662223) 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, 68092357 + ... + 68092493.

Almost surely, 29328662225 is an apocalyptic number.

9328662225 is the 96585-th square number.

9328662225 is the 48293-rd centered octagonal number.

It is an amenable number.

9328662225 is a deficient number, since it is larger than the sum of its proper divisors (7868596672).

9328662225 is a wasteful number, since it uses less digits than its factorization.

9328662225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 9328662225 is about 2105.1018977497.

The spelling of 9328662225 in words is "nine billion, three hundred twenty-eight million, six hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 137 141 225 235 411 423 685 705 1175 1233 2055 2115 2209 3425 3525 6165 6439 6627 10275 10575 11045 18769 19317 19881 30825 32195 33135 55225 56307 57951 93845 96585 99405 160975 165675 168921 281535 289755 302633 469225 482925 497025 844605 882143 907899 1407675 1448775 1513165 2646429 2723697 4223025 4410715 4539495 7565825 7939287 13232145 13618485 22053575 22697475 39696435 41460721 66160725 68092425 124382163 198482175 207303605 373146489 621910815 1036518025 1865732445 3109554075 9328662225