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90159070225 = 52722323732
BaseRepresentation
bin101001111110111100…
…1100011110000010001
322121201100012022110011
41103331321203300101
52434121210221400
6105230221434521
76341140311100
oct1237571436021
9277640168404
1090159070225
1135266498994
121558210ba41
13866aa78783
1445140a8037
15252a2ed8ba
hex14fde63c11

90159070225 has 81 divisors (see below), whose sum is σ = 136315495953. Its totient is φ = 58976850240.

The previous prime is 90159070213. The next prime is 90159070241. The reversal of 90159070225 is 52207095109.

The square root of 90159070225 is 300265.

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

It can be written as a sum of positive squares in 4 ways, for example, as 868068369 + 89291001856 = 29463^2 + 298816^2 .

It is not a de Polignac number, because 90159070225 - 27 = 90159070097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 241713139 + ... + 241713511.

Almost surely, 290159070225 is an apocalyptic number.

90159070225 is the 300265-th square number.

90159070225 is the 150133-rd centered octagonal number.

It is an amenable number.

90159070225 is a deficient number, since it is larger than the sum of its proper divisors (46156425728).

90159070225 is an equidigital number, since it uses as much as digits as its factorization.

90159070225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 90159070225 in words is "ninety billion, one hundred fifty-nine million, seventy thousand, two hundred twenty-five".

Divisors: 1 5 7 23 25 35 49 115 161 175 245 373 529 575 805 1127 1225 1865 2611 2645 3703 4025 5635 8579 9325 13055 13225 18277 18515 25921 28175 42895 60053 65275 91385 92575 129605 139129 197317 214475 300265 420371 456925 648025 695645 973903 986585 1381219 1501325 2101855 3199967 3478225 4869515 4932925 6817321 6906095 9668533 10509275 15999835 22399769 24347575 34086605 34530475 48342665 73599241 79999175 111998845 156798383 170433025 241713325 367996205 515194687 559994225 783991915 1839981025 2575973435 3606362809 3919959575 12879867175 18031814045 90159070225