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231924112225 = 521323122392
BaseRepresentation
bin1101011111111111000…
…0010001101101100001
3211011122012010121122021
43113333300101231201
512244440033042400
6254313334341441
722520203266331
oct3277760215541
9734565117567
10231924112225
118a3a412a223
1238b46aba881
1318b4120ac00
14b321cad0c1
156075e7071a
hex35ffc11b61

231924112225 has 81 divisors (see below), whose sum is σ = 323131090329. Its totient is φ = 165048811200.

The previous prime is 231924112201. The next prime is 231924112261. The reversal of 231924112225 is 522211429132.

The square root of 231924112225 is 481585.

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 59778783009 + 172145329216 = 244497^2 + 414904^2 .

It is not a de Polignac number, because 231924112225 - 25 = 231924112193 is a prime.

Its product of digits (17280) is a multiple of the sum of its prime divisors (288).

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, 970393656 + ... + 970393894.

Almost surely, 2231924112225 is an apocalyptic number.

231924112225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

231924112225 is the 481585-th square number.

231924112225 is the 240793-rd centered octagonal number.

It is an amenable number.

231924112225 is a deficient number, since it is larger than the sum of its proper divisors (91206978104).

231924112225 is an equidigital number, since it uses as much as digits as its factorization.

231924112225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The spelling of 231924112225 in words is "two hundred thirty-one billion, nine hundred twenty-four million, one hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 13 25 31 65 155 169 239 325 403 775 845 961 1195 2015 3107 4225 4805 5239 5975 7409 10075 12493 15535 24025 26195 37045 40391 57121 62465 77675 96317 130975 162409 185225 201955 229679 285605 312325 481585 742573 812045 1009775 1148395 1252121 1428025 1770751 2407925 2985827 3712865 4060225 5741975 6260605 8853755 9653449 14929135 18564325 23019763 31303025 38815751 44268775 48267245 54893281 74645675 115098815 194078755 241336225 274466405 299256919 575494075 713612653 970393775 1372332025 1496284595 3568063265 7481422975 9276964489 17840316325 46384822445 231924112225