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225532434355600 = 24523715238677997
BaseRepresentation
bin110011010001111011011100…
…101000101001010110010000
31002120112200122010101101100111
4303101323130220221112100
5214030110411143334400
62115400100420131104
765335115653422601
oct6321733450512620
91076480563341314
10225532434355600
116595284a6367a9
1221365843b36a94
1398ac8042a4018
143d99b842d9da8
151b119399643ba
hexcd1edca29590

225532434355600 has 60 divisors (see below), whose sum is σ = 556486043130964. Its totient is φ = 87774785256960.

The previous prime is 225532434355573. The next prime is 225532434355687. The reversal of 225532434355600 is 6553434235522.

It can be written as a sum of positive squares in 6 ways, for example, as 39324476416 + 225493109879184 = 198304^2 + 15016428^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7619324199 + ... + 7619353798.

Almost surely, 2225532434355600 is an apocalyptic number.

225532434355600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225532434355600 is an abundant number, since it is smaller than the sum of its proper divisors (330953608775364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225532434355600 is a wasteful number, since it uses less digits than its factorization.

225532434355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238678052 (or 15238678041 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 49.

The spelling of 225532434355600 in words is "two hundred twenty-five trillion, five hundred thirty-two billion, four hundred thirty-four million, three hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 15238677997 30477355994 60954711988 76193389985 121909423976 152386779970 243818847952 304773559940 380966949925 563831085889 609547119880 761933899850 1127662171778 1219094239760 1523867799700 2255324343556 2819155429445 3047735599400 4510648687112 5638310858890 6095471198800 9021297374224 11276621717780 14095777147225 22553243435560 28191554294450 45106486871120 56383108588900 112766217177800 225532434355600