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225460679929 = 174312532
BaseRepresentation
bin1101000111111010000…
…0001111010011111001
3210112221202001020100221
43101332200033103321
512143220413224204
6251324124500041
722201061105362
oct3217640172371
9715852036327
10225460679929
1187687748941
12378423aa621
1318351121564
14acab706b69
155ce87e4654
hex347e80f4f9

225460679929 has 45 divisors (see below), whose sum is σ = 252287024619. Its totient is φ = 201478592640.

The previous prime is 225460679881. The next prime is 225460679933. The reversal of 225460679929 is 929976064522.

The square root of 225460679929 is 474827.

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

It can be written as a sum of positive squares in 7 ways, for example, as 264875625 + 225195804304 = 16275^2 + 474548^2 .

It is not a de Polignac number, because 225460679929 - 211 = 225460677881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225460679989) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4253975067 + ... + 4253975119.

Almost surely, 2225460679929 is an apocalyptic number.

225460679929 is the 474827-th square number.

225460679929 is the 237414-th centered octagonal number.

It is an amenable number.

225460679929 is a deficient number, since it is larger than the sum of its proper divisors (26826344690).

225460679929 is an frugal number, since it uses more digits than its factorization.

225460679929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 225460679929 in words is "two hundred twenty-five billion, four hundred sixty million, six hundred seventy-nine thousand, nine hundred twenty-nine".

Divisors: 1 17 31 53 289 527 901 961 1643 2809 4913 8959 15317 16337 27931 47753 50933 83521 87079 152303 260389 277729 474827 811801 865861 1480343 2589151 2699449 4426613 4721393 8072059 13800617 14719637 25165831 45890633 80263681 137225003 234610489 250233829 427819127 780140761 4253975093 7272925159 13262392937 225460679929