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238097881400 = 235223413793331
BaseRepresentation
bin1101110110111110111…
…1010101100100111000
3211202120110011120210212
43131233233111210320
512400111024201100
6301214115530252
723126200412351
oct3355757254470
9752513146725
10238097881400
1191a820573a5
123a18a5b9988
13195b62a8772
14b749bd2d28
1562d7e80635
hex376fbd5938

238097881400 has 192 divisors, whose sum is σ = 593474515200. Its totient is φ = 88615296000.

The previous prime is 238097881369. The next prime is 238097881403. The reversal of 238097881400 is 4188790832.

It is a super-2 number, since 2×2380978814002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238097881403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71477735 + ... + 71481065.

It is an arithmetic number, because the mean of its divisors is an integer number (3091013100).

Almost surely, 2238097881400 is an apocalyptic number.

238097881400 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 238097881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296737257600).

238097881400 is an abundant number, since it is smaller than the sum of its proper divisors (355376633800).

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

238097881400 is a wasteful number, since it uses less digits than its factorization.

238097881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 238097881400 in words is "two hundred thirty-eight billion, ninety-seven million, eight hundred eighty-one thousand, four hundred".