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216389056 = 26131715299
BaseRepresentation
bin11001110010111…
…01010111000000
3120002011200222111
430321131113000
5420343422211
633245545104
75235163612
oct1471352700
9502150874
10216389056
11101167334
1260575194
1335aa4c80
1420a4adb2
1513ee5421
hexce5d5c0

216389056 has 56 divisors (see below), whose sum is σ = 489661200. Its totient is φ = 93990912.

The previous prime is 216389053. The next prime is 216389071. The reversal of 216389056 is 650983612.

216389056 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2163890562 = 93648447113142272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216389053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6495 + ... + 21793.

It is an arithmetic number, because the mean of its divisors is an integer number (8743950).

Almost surely, 2216389056 is an apocalyptic number.

216389056 is a gapful number since it is divisible by the number (26) 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 216389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244830600).

216389056 is an abundant number, since it is smaller than the sum of its proper divisors (273272144).

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

216389056 is a wasteful number, since it uses less digits than its factorization.

216389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 216389056 is about 14710.1684558675. The cubic root of 216389056 is about 600.3600209687.

It can be divided in two parts, 2163 and 89056, that added together give a palindrome (91219).

The spelling of 216389056 in words is "two hundred sixteen million, three hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 15299 30598 61196 122392 198887 244784 260083 397774 489568 520166 795548 979136 1040332 1591096 2080664 3182192 3381079 4161328 6364384 6762158 8322656 12728768 13524316 16645312 27048632 54097264 108194528 216389056