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234921888 = 25321994099
BaseRepresentation
bin11100000000010…
…01111110100000
3121101001021020200
432000021332200
5440120000023
635151105200
75551542315
oct1600117640
9541037220
10234921888
11110675323
1266812200
1339893646
14232b2d0c
1515956743
hexe009fa0

234921888 has 72 divisors (see below), whose sum is σ = 671580000. Its totient is φ = 77894784.

The previous prime is 234921887. The next prime is 234921941. The reversal of 234921888 is 888129432.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2349218882 = 110376586922969088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234921887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55263 + ... + 59361.

It is an arithmetic number, because the mean of its divisors is an integer number (9327500).

Almost surely, 2234921888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234921888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335790000).

234921888 is an abundant number, since it is smaller than the sum of its proper divisors (436658112).

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

234921888 is a wasteful number, since it uses less digits than its factorization.

234921888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4303 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 234921888 is about 15327.1617724874. The cubic root of 234921888 is about 617.0321987072.

The spelling of 234921888 in words is "two hundred thirty-four million, nine hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2388 3184 3582 4099 4776 6368 7164 8198 9552 12297 14328 16396 19104 24594 28656 32792 36891 49188 57312 65584 73782 98376 131168 147564 196752 295128 393504 590256 815701 1180512 1631402 2447103 3262804 4894206 6525608 7341309 9788412 13051216 14682618 19576824 26102432 29365236 39153648 58730472 78307296 117460944 234921888