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221253325 = 5229793863
BaseRepresentation
bin11010011000000…
…00111011001101
3120102022211111121
431030000323031
5423120101300
633542120541
75324423266
oct1514007315
9512284447
10221253325
11103989997
1262120151
1336ab9037
142155596d
151465681a
hexd300ecd

221253325 has 24 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 168692160.

The previous prime is 221253301. The next prime is 221253337. The reversal of 221253325 is 523352122.

It is not a de Polignac number, because 221253325 - 29 = 221252813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 221253325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55344 + ... + 59206.

It is an arithmetic number, because the mean of its divisors is an integer number (11978400).

Almost surely, 2221253325 is an apocalyptic number.

221253325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221253325 is a deficient number, since it is larger than the sum of its proper divisors (66228275).

221253325 is a wasteful number, since it uses less digits than its factorization.

221253325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3976 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 221253325 is about 14874.5865488759. The cubic root of 221253325 is about 604.8252802394.

The spelling of 221253325 in words is "two hundred twenty-one million, two hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 5 25 29 79 145 395 725 1975 2291 3863 11455 19315 57275 96575 112027 305177 560135 1525885 2800675 7629425 8850133 44250665 221253325