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238241992800 = 25352727915081
BaseRepresentation
bin1101110111100001010…
…1000101000001100000
3211202221111100012111010
43131320111011001200
512400404422232200
6301240304420520
723132600345250
oct3357025050140
9752844305433
10238241992800
1192046437429
123a20a917740
131960a0c5296
14b760dc7960
1562e594a150
hex3778545060

238241992800 has 288 divisors, whose sum is σ = 886752244224. Its totient is φ = 54425088000.

The previous prime is 238241992789. The next prime is 238241992817. The reversal of 238241992800 is 8299142832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 238241992800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46886260 + ... + 46891340.

It is an arithmetic number, because the mean of its divisors is an integer number (3079000848).

Almost surely, 2238241992800 is an apocalyptic number.

238241992800 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 238241992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443376122112).

238241992800 is an abundant number, since it is smaller than the sum of its proper divisors (648510251424).

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

238241992800 is a wasteful number, since it uses less digits than its factorization.

238241992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 238241992800 in words is "two hundred thirty-eight billion, two hundred forty-one million, nine hundred ninety-two thousand, eight hundred".