Search a number
-
+
238466880 = 26325312671
BaseRepresentation
bin11100011011010…
…11011101000000
3121121201101001200
432031223131000
5442021420010
635355101200
75623635501
oct1615533500
9547641050
10238466880
11112676773
1267a41800
133a535082
1423956ba8
1515e06cc0
hexe36b740

238466880 has 168 divisors, whose sum is σ = 847002624. Its totient is φ = 61516800.

The previous prime is 238466857. The next prime is 238466897. The reversal of 238466880 is 88664832.

It is a happy number.

238466880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87945 + ... + 90615.

Almost surely, 2238466880 is an apocalyptic number.

238466880 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 238466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423501312).

238466880 is an abundant number, since it is smaller than the sum of its proper divisors (608535744).

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

238466880 is a wasteful number, since it uses less digits than its factorization.

238466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 238466880 is about 15442.3728746589. The cubic root of 238466880 is about 620.1204067225.

The spelling of 238466880 in words is "two hundred thirty-eight million, four hundred sixty-six thousand, eight hundred eighty".