Search a number
-
+
216898560 = 210345523
BaseRepresentation
bin11001110110110…
…01110000000000
3120010010120220000
430323121300000
5421011223220
633304520000
75242415214
oct1473316000
9503116800
10216898560
1110148510a
1260780000
1335c22b58
1420b40944
1514096390
hexced9c00

216898560 has 220 divisors, whose sum is σ = 778727928. Its totient is φ = 57729024.

The previous prime is 216898543. The next prime is 216898567. The reversal of 216898560 is 65898612.

216898560 is a `hidden beast` number, since 2 + 1 + 6 + 89 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216898567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414459 + ... + 414981.

Almost surely, 2216898560 is an apocalyptic number.

216898560 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 216898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389363964).

216898560 is an abundant number, since it is smaller than the sum of its proper divisors (561829368).

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

216898560 is an equidigital number, since it uses as much as digits as its factorization.

216898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 216898560 is about 14727.4763622285. The cubic root of 216898560 is about 600.8308489523.

The spelling of 216898560 in words is "two hundred sixteen million, eight hundred ninety-eight thousand, five hundred sixty".