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238979468 = 227213711321
BaseRepresentation
bin11100011111010…
…00100110001100
3121122200102012102
432033220212030
5442134320333
635414054232
75631202100
oct1617504614
9548612172
10238979468
111129968a2
126804a378
133a684490
1423a4b900
1515ea8ae8
hexe3e898c

238979468 has 72 divisors (see below), whose sum is σ = 531697824. Its totient is φ = 93139200.

The previous prime is 238979449. The next prime is 238979483. The reversal of 238979468 is 864979832.

It is a happy number.

238979468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2389794682 = 114222372251126048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180248 + ... + 181568.

It is an arithmetic number, because the mean of its divisors is an integer number (7384692).

Almost surely, 2238979468 is an apocalyptic number.

238979468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238979468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265848912).

238979468 is an abundant number, since it is smaller than the sum of its proper divisors (292718356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238979468 is a wasteful number, since it uses less digits than its factorization.

238979468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 56.

The square root of 238979468 is about 15458.9607671408. The cubic root of 238979468 is about 620.5644079998.

The spelling of 238979468 in words is "two hundred thirty-eight million, nine hundred seventy-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 71 91 98 142 182 196 284 364 497 637 923 994 1274 1321 1846 1988 2548 2642 3479 3692 5284 6461 6958 9247 12922 13916 17173 18494 25844 34346 36988 45227 64729 68692 90454 93791 120211 129458 180908 187582 240422 258916 375164 480844 656537 841477 1219283 1313074 1682954 2438566 2626148 3365908 4595759 4877132 8534981 9191518 17069962 18383036 34139924 59744867 119489734 238979468