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225313352544 = 2537437797389
BaseRepresentation
bin1101000111010110111…
…0001110101101100000
3210112120110211020012010
43101311232032231200
512142420204240134
6251301343032520
722164321616440
oct3216556165540
9715513736163
10225313352544
1187611571675
1237800b9b740
1318329749ca7
14ac95d16120
155cda8e1ce9
hex3475b8eb60

225313352544 has 96 divisors (see below), whose sum is σ = 691659682560. Its totient is φ = 62878136832.

The previous prime is 225313352441. The next prime is 225313352609. The reversal of 225313352544 is 445253313522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2253133525442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3869799 + ... + 3927590.

It is an arithmetic number, because the mean of its divisors is an integer number (7204788360).

Almost surely, 2225313352544 is an apocalyptic number.

225313352544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225313352544 is an abundant number, since it is smaller than the sum of its proper divisors (466346330016).

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

225313352544 is a wasteful number, since it uses less digits than its factorization.

225313352544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797452 (or 7797444 counting only the distinct ones).

The product of its digits is 432000, while the sum is 39.

The spelling of 225313352544 in words is "two hundred twenty-five billion, three hundred thirteen million, three hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 7797389 15594778 23392167 31189556 46784334 54581723 62379112 93568668 109163446 124758224 163745169 187137336 218326892 249516448 327490338 335287727 374274672 436653784 654980676 670575454 748549344 873307568 1005863181 1309961352 1341150908 1746615136 2011726362 2347014089 2619922704 2682301816 4023452724 4694028178 5239845408 5364603632 7041042267 8046905448 9388056356 10729207264 14082084534 16093810896 18776112712 28164169068 32187621792 37552225424 56328338136 75104450848 112656676272 225313352544