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238222890 = 23353112837
BaseRepresentation
bin11100011001011…
…11111000101010
3121121020222101000
432030233320222
5441441113030
635345535430
75621601243
oct1614577052
9547228330
10238222890
1111251a424
1267944576
133a47acb9
14238d1cca
1515da9860
hexe32fe2a

238222890 has 64 divisors (see below), whose sum is σ = 637528320. Its totient is φ = 63299520.

The previous prime is 238222877. The next prime is 238222927. The reversal of 238222890 is 98222832.

238222890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82552 + ... + 85388.

It is an arithmetic number, because the mean of its divisors is an integer number (9961380).

Almost surely, 2238222890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238222890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318764160).

238222890 is an abundant number, since it is smaller than the sum of its proper divisors (399305430).

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

238222890 is a wasteful number, since it uses less digits than its factorization.

238222890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238222890 is about 15434.4708364103. The cubic root of 238222890 is about 619.9088402220.

The spelling of 238222890 in words is "two hundred thirty-eight million, two hundred twenty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 622 933 1555 1866 2799 2837 3110 4665 5598 5674 8397 8511 9330 13995 14185 16794 17022 25533 27990 28370 41985 42555 51066 76599 83970 85110 127665 153198 255330 382995 765990 882307 1764614 2646921 4411535 5293842 7940763 8823070 13234605 15881526 23822289 26469210 39703815 47644578 79407630 119111445 238222890