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238383201 = 37234710501
BaseRepresentation
bin11100011010101…
…11000001100001
3121121120010021110
432031113001201
5442011230301
635353213533
75623136520
oct1615270141
9547503243
10238383201
11112619911
1267a012a9
133a505c64
14239344b7
1515ddc0d6
hexe357061

238383201 has 32 divisors (see below), whose sum is σ = 387145728. Its totient is φ = 127512000.

The previous prime is 238383137. The next prime is 238383203. The reversal of 238383201 is 102383832.

It is not a de Polignac number, because 238383201 - 26 = 238383137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (238383203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17451 + ... + 27951.

It is an arithmetic number, because the mean of its divisors is an integer number (12098304).

Almost surely, 2238383201 is an apocalyptic number.

238383201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238383201 is a deficient number, since it is larger than the sum of its proper divisors (148762527).

238383201 is a wasteful number, since it uses less digits than its factorization.

238383201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 238383201 is about 15439.6632411462. The cubic root of 238383201 is about 620.0478639774.

The spelling of 238383201 in words is "two hundred thirty-eight million, three hundred eighty-three thousand, two hundred one".

Divisors: 1 3 7 21 23 47 69 141 161 329 483 987 1081 3243 7567 10501 22701 31503 73507 220521 241523 493547 724569 1480641 1690661 3454829 5071983 10364487 11351581 34054743 79461067 238383201