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220275144 = 23323059377
BaseRepresentation
bin11010010000100…
…10000111001000
3120100111010200200
431020102013020
5422342301034
633505132200
75313210405
oct1510220710
9510433620
10220275144
11103380a81
126192a060
1336835a2b
142137d2ac
1514511a99
hexd2121c8

220275144 has 24 divisors (see below), whose sum is σ = 596578710. Its totient is φ = 73425024.

The previous prime is 220275131. The next prime is 220275149. The reversal of 220275144 is 441572022.

It can be written as a sum of positive squares in only one way, i.e., 220166244 + 108900 = 14838^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2202751442 = 97042278128441472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220275149) 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, 1529617 + ... + 1529760.

Almost surely, 2220275144 is an apocalyptic number.

220275144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220275144 is an abundant number, since it is smaller than the sum of its proper divisors (376303566).

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

220275144 is a wasteful number, since it uses less digits than its factorization.

220275144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059389 (or 3059382 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 220275144 is about 14841.6691783640. The cubic root of 220275144 is about 603.9326343300.

The spelling of 220275144 in words is "two hundred twenty million, two hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3059377 6118754 9178131 12237508 18356262 24475016 27534393 36712524 55068786 73425048 110137572 220275144