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221208264 = 23325215897
BaseRepresentation
bin11010010111101…
…01111011001000
3120102020112200200
431023311323020
5423112131024
633541132200
75324145024
oct1513657310
9512215620
10221208264
11103959052
12620ba060
1336aa1684
1421543384
15146482c9
hexd2f5ec8

221208264 has 48 divisors (see below), whose sum is σ = 600357420. Its totient is φ = 73582080.

The previous prime is 221208263. The next prime is 221208271. The reversal of 221208264 is 462802122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 216972900 + 4235364 = 14730^2 + 2058^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221208263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34564 + ... + 40460.

Almost surely, 2221208264 is an apocalyptic number.

221208264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221208264 is an abundant number, since it is smaller than the sum of its proper divisors (379149156).

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

221208264 is a wasteful number, since it uses less digits than its factorization.

221208264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 221208264 is about 14873.0717741830. The cubic root of 221208264 is about 604.7842173802.

The spelling of 221208264 in words is "two hundred twenty-one million, two hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 521 1042 1563 2084 3126 4168 4689 5897 6252 9378 11794 12504 17691 18756 23588 35382 37512 47176 53073 70764 106146 141528 212292 424584 3072337 6144674 9217011 12289348 18434022 24578696 27651033 36868044 55302066 73736088 110604132 221208264