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225156435132 = 2231271732773083
BaseRepresentation
bin1101000110110001011…
…1101000110010111100
3210112011112112222222010
43101230113220302330
512142110021411012
6251234015451220
722160405056326
oct3215427506274
9715145488863
10225156435132
1187540a35262
1237778526b10
1318303098655
14ac7d14a616
155ccbc47c3c
hex346c5e8cbc

225156435132 has 96 divisors (see below), whose sum is σ = 534658424832. Its totient is φ = 73739586816.

The previous prime is 225156435131. The next prime is 225156435137. The reversal of 225156435132 is 231534651522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225156435131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73030063 + ... + 73033145.

It is an arithmetic number, because the mean of its divisors is an integer number (5569358592).

Almost surely, 2225156435132 is an apocalyptic number.

It is an amenable number.

225156435132 is an abundant number, since it is smaller than the sum of its proper divisors (309501989700).

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

225156435132 is a wasteful number, since it uses less digits than its factorization.

225156435132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3665 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The spelling of 225156435132 in words is "two hundred twenty-five billion, one hundred fifty-six million, four hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 127 173 254 277 346 381 508 519 554 692 762 831 1038 1108 1524 1662 2076 3083 3324 6166 9249 12332 18498 21971 35179 36996 43942 47921 65913 70358 87884 95842 105537 131826 140716 143763 191684 211074 263652 287526 391541 422148 533359 575052 783082 853991 1066718 1174623 1566164 1600077 1707982 2133436 2349246 2561973 3200154 3415964 4698492 5123946 6085967 6400308 10247892 12171934 18257901 24343868 36515802 67736593 73031604 108456857 135473186 147740443 203209779 216913714 270946372 295480886 325370571 406419558 433827428 443221329 590961772 650741142 812839116 886442658 1301482284 1772885316 18763036261 37526072522 56289108783 75052145044 112578217566 225156435132