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225472241288 = 23722928272
BaseRepresentation
bin1101000111111100110…
…0010101111010001000
3210112222112210121120102
43101333030111322020
512143231343210123
6251325220344532
722201261300100
oct3217714257210
9715875717512
10225472241288
1187693225088
1237846245148
131835363b9b8
14acad076200
155ce982a028
hex347f315e88

225472241288 has 108 divisors (see below), whose sum is σ = 509941961685. Its totient is φ = 93186042432.

The previous prime is 225472241287. The next prime is 225472241299. The reversal of 225472241288 is 882142274522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 225338191204 + 134050084 = 474698^2 + 11578^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335762.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225472241287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272638331 + ... + 272639157.

Almost surely, 2225472241288 is an apocalyptic number.

225472241288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225472241288

225472241288 is an abundant number, since it is smaller than the sum of its proper divisors (284469720397).

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

225472241288 is an frugal number, since it uses more digits than its factorization.

225472241288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 865 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 47.

The spelling of 225472241288 in words is "two hundred twenty-five billion, four hundred seventy-two million, two hundred forty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 827 841 1421 1624 1654 1682 2842 3308 3364 5684 5789 5887 6616 6728 11368 11578 11774 23156 23548 23983 40523 41209 46312 47096 47966 81046 82418 95932 162092 164836 167881 191864 324184 329672 335762 671524 683929 695507 1175167 1343048 1367858 1391014 2350334 2735716 2782028 4700668 4787503 4868549 5471432 5564056 9401336 9575006 9737098 19150012 19474196 19833941 33512521 34079843 38300024 38948392 39667882 67025042 68159686 79335764 134050084 136319372 138837587 158671528 268100168 272638744 277675174 555350348 575184289 971863109 1110700696 1150368578 1943726218 2300737156 3887452436 4026290023 4601474312 7774904872 8052580046 16105160092 28184030161 32210320184 56368060322 112736120644 225472241288