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238294980 = 223357112521
BaseRepresentation
bin11100011010000…
…01011111000100
3121121101122021000
432031001133010
5442000414410
635351253300
75622321360
oct1615013704
9547348230
10238294980
11112569600
126797a230
133a4a4a61
14239102a0
1515dc0dc0
hexe3417c4

238294980 has 288 divisors, whose sum is σ = 933085440. Its totient is φ = 49420800.

The previous prime is 238294961. The next prime is 238294999. The reversal of 238294980 is 89492832.

It is an interprime number because it is at equal distance from previous prime (238294961) and next prime (238294999).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 457120 + ... + 457640.

It is an arithmetic number, because the mean of its divisors is an integer number (3239880).

Almost surely, 2238294980 is an apocalyptic number.

238294980 is a gapful number since it is divisible by the number (20) 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 238294980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466542720).

238294980 is an abundant number, since it is smaller than the sum of its proper divisors (694790460).

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

238294980 is a wasteful number, since it uses less digits than its factorization.

238294980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 238294980 is about 15436.8060167899. The cubic root of 238294980 is about 619.9713653095.

The spelling of 238294980 in words is "two hundred thirty-eight million, two hundred ninety-four thousand, nine hundred eighty".