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238744618225 = 5279212372
BaseRepresentation
bin1101111001011001001…
…0011100010011110001
3211211020112010012221121
43132112102130103301
512402422110240400
6301402221422241
723151212525431
oct3362622342361
9754215105847
10238744618225
1192284127343
123a32b10a981
131968a289389
14b7aba642c1
156324b3121a
hex379649c4f1

238744618225 has 27 divisors (see below), whose sum is σ = 300080733057. Its totient is φ = 188425579680.

The previous prime is 238744618163. The next prime is 238744618271. The reversal of 238744618225 is 522816447832.

The square root of 238744618225 is 488615.

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 3767872689 + 234976745536 = 61383^2 + 484744^2 .

It is not a de Polignac number, because 238744618225 - 217 = 238744487153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193002307 + ... + 193003543.

Almost surely, 2238744618225 is an apocalyptic number.

238744618225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238744618225 is the 488615-th square number.

238744618225 is the 244308-th centered octagonal number.

It is an amenable number.

238744618225 is a deficient number, since it is larger than the sum of its proper divisors (61336114832).

238744618225 is an frugal number, since it uses more digits than its factorization.

238744618225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 1321 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 52.

The spelling of 238744618225 in words is "two hundred thirty-eight billion, seven hundred forty-four million, six hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 25 79 395 1237 1975 6185 6241 30925 31205 97723 156025 488615 1530169 2443075 7650845 7720117 38254225 38600585 120883351 193002925 604416755 3022083775 9549784729 47748923645 238744618225