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218768968 = 23112226001
BaseRepresentation
bin11010000101000…
…10011001001000
3120020122121121101
431002202121020
5422001101333
633412551144
75264335255
oct1502423110
9506577541
10218768968
11102542400
12613224b4
13364292c2
14210aa42c
151431567d
hexd0a2648

218768968 has 24 divisors (see below), whose sum is σ = 450873990. Its totient is φ = 99440000.

The previous prime is 218768959. The next prime is 218768969. The reversal of 218768968 is 869867812.

It can be written as a sum of positive squares in only one way, i.e., 197627364 + 21141604 = 14058^2 + 4598^2 .

It is a super-2 number, since 2×2187689682 = 95719722719570048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218768969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112033 + ... + 113968.

Almost surely, 2218768968 is an apocalyptic number.

It is an amenable number.

218768968 is an abundant number, since it is smaller than the sum of its proper divisors (232105022).

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

218768968 is a wasteful number, since it uses less digits than its factorization.

218768968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226029 (or 226014 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The square root of 218768968 is about 14790.8406792853. The cubic root of 218768968 is about 602.5529809989.

The spelling of 218768968 in words is "two hundred eighteen million, seven hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 226001 452002 904004 1808008 2486011 4972022 9944044 19888088 27346121 54692242 109384484 218768968