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55537992225 = 345252372
BaseRepresentation
bin110011101110010100…
…101000001000100001
312022100112112022210000
4303232110220020201
51402220211222400
641302551530213
74004166100452
oct635624501041
9168315468700
1055537992225
112160a826631
12a91b689969
1353111c63c1
14298c037129
1516a0b6b600
hexcee528221

55537992225 has 45 divisors (see below), whose sum is σ = 102895207657. Its totient is φ = 29614606560.

The previous prime is 55537992187. The next prime is 55537992269. The reversal of 55537992225 is 52229973555.

The square root of 55537992225 is 235665.

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 3510207009 + 52027785216 = 59247^2 + 228096^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 55537992225 - 227 = 55403774497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10602307 + ... + 10607543.

Almost surely, 255537992225 is an apocalyptic number.

55537992225 is the 235665-th square number.

55537992225 is the 117833-rd centered octagonal number.

It is an amenable number.

55537992225 is a deficient number, since it is larger than the sum of its proper divisors (47357215432).

55537992225 is an frugal number, since it uses more digits than its factorization.

55537992225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 5245 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 54.

The spelling of 55537992225 in words is "fifty-five billion, five hundred thirty-seven million, nine hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 5237 15711 26185 47133 78555 130925 141399 235665 392775 424197 706995 1178325 2120985 3534975 10604925 27426169 82278507 137130845 246835521 411392535 685654225 740506563 1234177605 2056962675 2221519689 3702532815 6170888025 11107598445 18512664075 55537992225