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234866688 = 2113743127
BaseRepresentation
bin11011111111111…
…00100000000000
3121100221110112020
431333330200000
5440111213223
635150001440
75551222350
oct1577744000
9540843466
10234866688
11110637901
12667a6280
1339874494
142329ab60
15159451e3
hexdffc800

234866688 has 192 divisors, whose sum is σ = 738017280. Its totient is φ = 65028096.

The previous prime is 234866683. The next prime is 234866693. The reversal of 234866688 is 886668432.

It is a happy number.

234866688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234866683) and next prime (234866693).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2348666882 = 110324722264178688, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234866688.

It is not an unprimeable number, because it can be changed into a prime (234866683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849281 + ... + 1849407.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2234866688 is an apocalyptic number.

234866688 is a gapful number since it is divisible by the number (28) 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 234866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

234866688 is an abundant number, since it is smaller than the sum of its proper divisors (503150592).

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

234866688 is a wasteful number, since it uses less digits than its factorization.

234866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 234866688 is about 15325.3609419159. The cubic root of 234866688 is about 616.9838665492.

The spelling of 234866688 in words is "two hundred thirty-four million, eight hundred sixty-six thousand, six hundred eighty-eight".