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238158640225 = 521121924672
BaseRepresentation
bin1101110111001101011…
…1000111010001100001
3211202201200111110020201
43131303113013101201
512400222102441400
6301224130105201
723130536016652
oct3356327072141
9752650443221
10238158640225
1192003386400
123a1a6a1b201
13195c5a5cc2c
14b753ccb529
1562dd48306a
hex37735c7461

238158640225 has 81 divisors (see below), whose sum is σ = 343323104691. Its totient is φ = 163738792800.

The previous prime is 238158640207. The next prime is 238158640229. The reversal of 238158640225 is 522046851832.

The square root of 238158640225 is 488015.

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

It can be written as a sum of positive squares in only one way, i.e., 85737110481 + 152421529744 = 292809^2 + 390412^2 .

It is not a de Polignac number, because 238158640225 - 215 = 238158607457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238158640229) 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, 509975442 + ... + 509975908.

Almost surely, 2238158640225 is an apocalyptic number.

238158640225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238158640225 is the 488015-th square number.

238158640225 is the 244008-th centered octagonal number.

It is an amenable number.

238158640225 is a deficient number, since it is larger than the sum of its proper divisors (105164464466).

238158640225 is an equidigital number, since it uses as much as digits as its factorization.

238158640225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 238158640225 in words is "two hundred thirty-eight billion, one hundred fifty-eight million, six hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 121 209 275 361 467 475 605 1045 1805 2299 2335 3025 3971 5137 5225 8873 9025 11495 11675 19855 25685 43681 44365 56507 57475 97603 99275 128425 168587 218089 218405 221825 282535 488015 842935 1073633 1090445 1092025 1412675 1854457 2398979 2440075 4143691 4214675 5368165 5452225 9272285 11994895 20399027 20718455 26388769 26840825 45580601 46361425 59974475 78730129 101995135 103592275 131943845 227903005 393650645 501386611 509975675 659719225 866031419 1139515025 1968253225 2506933055 4330157095 9526345609 12534665275 21650785475 47631728045 238158640225