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228087432225 = 3452106132
BaseRepresentation
bin1101010001101100010…
…0100000010000100001
3210210201210202002010000
43110123010200100201
512214110340312400
6252440521130213
722323135120342
oct3243304402041
9723653662100
10228087432225
1188805455804
1238256029969
131867c3a0163
14b07a5100c9
155dee20b600
hex351b120421

228087432225 has 45 divisors (see below), whose sum is σ = 422536582633. Its totient is φ = 121635168480.

The previous prime is 228087432203. The next prime is 228087432239. The reversal of 228087432225 is 522234780822.

The square root of 228087432225 is 477585.

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

228087432225 is a `hidden beast` number, since 228 + 0 + 87 + 4 + 322 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73713879009 + 154373553216 = 271503^2 + 392904^2 .

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

It is not a de Polignac number, because 228087432225 - 211 = 228087430177 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21486019 + ... + 21496631.

Almost surely, 2228087432225 is an apocalyptic number.

228087432225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228087432225 is the 477585-th square number.

228087432225 is the 238793-rd centered octagonal number.

It is an amenable number.

228087432225 is a deficient number, since it is larger than the sum of its proper divisors (194449150408).

228087432225 is an frugal number, since it uses more digits than its factorization.

228087432225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21248 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 228087432225 in words is "two hundred twenty-eight billion, eighty-seven million, four hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 10613 31839 53065 95517 159195 265325 286551 477585 795975 859653 1432755 2387925 4298265 7163775 21491325 112635769 337907307 563178845 1013721921 1689536535 2815894225 3041165763 5068609605 8447682675 9123497289 15205828815 25343048025 45617486445 76029144075 228087432225