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336498607225 = 521125321992
BaseRepresentation
bin1001110010110001110…
…00010100010001111001
31012011120011111101022201
410321120320110101321
521003122120412400
6414330232550201
733211514653054
oct4713070242171
91164504441281
10336498607225
1111a787767100
1255270852361
1325968677911
14124026aba9b
158b46ab106a
hex4e58e14479

336498607225 has 81 divisors (see below), whose sum is σ = 469816934349. Its totient is φ = 238902206400.

The previous prime is 336498607183. The next prime is 336498607259. The reversal of 336498607225 is 522706894633.

The square root of 336498607225 is 580085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2534820409 + 333963786816 = 50347^2 + 577896^2 .

It is not a de Polignac number, because 336498607225 - 227 = 336364389497 is a prime.

It is a super-2 number, since 2×3364986072252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1690947676 + ... + 1690947874.

Almost surely, 2336498607225 is an apocalyptic number.

336498607225 is the 580085-th square number.

336498607225 is the 290043-rd centered octagonal number.

It is an amenable number.

336498607225 is a deficient number, since it is larger than the sum of its proper divisors (133318327124).

336498607225 is an equidigital number, since it uses as much as digits as its factorization.

336498607225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 336498607225 in words is "three hundred thirty-six billion, four hundred ninety-eight million, six hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 53 55 121 199 265 275 583 605 995 1325 2189 2809 2915 3025 4975 6413 10547 10945 14045 14575 24079 30899 32065 39601 52735 54725 70225 116017 120395 154495 160325 198005 263675 339889 435611 558991 580085 601975 772475 990025 1276187 1699445 2098853 2178055 2794955 2900425 4791721 6148901 6380935 8497225 10494265 10890275 13974775 23087383 23958605 30744505 31904675 52471325 67637911 111239209 115436915 119793025 153722525 253961213 338189555 556196045 577184575 1223631299 1269806065 1690947775 2780980225 6118156495 6349030325 13459944289 30590782475 67299721445 336498607225