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93034150225 = 5253211512
BaseRepresentation
bin101011010100101000…
…1000111100101010001
322220010201011111202121
41112221101013211101
53011013220301400
6110423404414241
76502321141402
oct1265121074521
9286121144677
1093034150225
1136501397065
1216044b47381
138a08602843
144707c739a9
15264791921a
hex15a9447951

93034150225 has 27 divisors (see below), whose sum is σ = 117682306609. Its totient is φ = 72959588000.

The previous prime is 93034150213. The next prime is 93034150273. The reversal of 93034150225 is 52205143039.

The square root of 93034150225 is 305015.

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 700819729 + 92333330496 = 26473^2 + 303864^2 .

It is not a de Polignac number, because 93034150225 - 25 = 93034150193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80828400 + ... + 80829550.

Almost surely, 293034150225 is an apocalyptic number.

93034150225 is the 305015-th square number.

93034150225 is the 152508-th centered octagonal number.

It is an amenable number.

93034150225 is a deficient number, since it is larger than the sum of its proper divisors (24648156384).

93034150225 is an frugal number, since it uses more digits than its factorization.

93034150225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 93034150225 in words is "ninety-three billion, thirty-four million, one hundred fifty thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 1151 1325 2809 5755 14045 28775 61003 70225 305015 1324801 1525075 3233159 6624005 16165795 33120025 70214453 80828975 351072265 1755361325 3721366009 18606830045 93034150225