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238012258225 = 52725322632
BaseRepresentation
bin1101110110101010100…
…0101101011110110001
3211202100111001110220011
43131222220231132301
512344422114230400
6301201420414521
723124110546200
oct3355250553661
9752314043804
10238012258225
1191a38795445
123a1659a7441
13195a1629a71
14b73c6a5237
1562d06ba8ba
hex376aa2d7b1

238012258225 has 81 divisors (see below), whose sum is σ = 351256061793. Its totient is φ = 159520146240.

The previous prime is 238012258223. The next prime is 238012258229. The reversal of 238012258225 is 522852210832.

It is a happy number.

The square root of 238012258225 is 487865.

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 1792929649 + 236219328576 = 42343^2 + 486024^2 .

It is not a de Polignac number, because 238012258225 - 21 = 238012258223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238012258223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 904989444 + ... + 904989706.

Almost surely, 2238012258225 is an apocalyptic number.

238012258225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238012258225 is the 487865-th square number.

238012258225 is the 243933-rd centered octagonal number.

It is an amenable number.

238012258225 is a deficient number, since it is larger than the sum of its proper divisors (113243803568).

238012258225 is an frugal number, since it uses more digits than its factorization.

238012258225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 238012258225 in words is "two hundred thirty-eight billion, twelve million, two hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 53 175 245 263 265 371 1225 1315 1325 1841 1855 2597 2809 6575 9205 9275 12887 12985 13939 14045 19663 46025 64435 64925 69169 69695 70225 97573 98315 137641 322175 345845 348475 484183 487865 491575 683011 688205 738767 1729225 2420915 2439325 3389281 3415055 3441025 3665957 3693835 5171369 12104575 16946405 17075275 18329785 18469175 25661699 25856845 36199583 84732025 91648925 128308495 129284225 179631893 180997915 194295721 641542475 898159465 904989575 971478605 1360070047 4490797325 4857393025 6800350235 9520490329 34001751175 47602451645 238012258225