Search a number
-
+
216358560 = 253351129157
BaseRepresentation
bin11001110010101…
…01111010100000
3120002010011011000
430321111322200
5420341433220
633245152000
75235005655
oct1471257240
9502104130
10216358560
11101146430
126055b600
1335a94122
1420a3dc2c
1513edb390
hexce55ea0

216358560 has 384 divisors, whose sum is σ = 860025600. Its totient is φ = 50319360.

The previous prime is 216358559. The next prime is 216358577. The reversal of 216358560 is 65853612.

216358560 is a `hidden beast` number, since 2 + 16 + 3 + 585 + 60 = 666.

216358560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2163585602 = 93622052970547200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1378002 + ... + 1378158.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 2216358560 is an apocalyptic number.

216358560 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 216358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430012800).

216358560 is an abundant number, since it is smaller than the sum of its proper divisors (643667040).

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

216358560 is a wasteful number, since it uses less digits than its factorization.

216358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 216358560 is about 14709.1318574551. The cubic root of 216358560 is about 600.3318164626.

The spelling of 216358560 in words is "two hundred sixteen million, three hundred fifty-eight thousand, five hundred sixty".