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221163144 = 23382311197
BaseRepresentation
bin11010010111010…
…10111010001000
3120102011020210120
431023222322020
5423104210034
633540143240
75323566336
oct1513527210
9512136716
10221163144
11103928164
1262097b20
1336a86c87
1421530b56
1514639c49
hexd2eae88

221163144 has 32 divisors (see below), whose sum is σ = 553629120. Its totient is φ = 73624896.

The previous prime is 221163121. The next prime is 221163157. The reversal of 221163144 is 441361122.

221163144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14154 + ... + 25350.

It is an arithmetic number, because the mean of its divisors is an integer number (17300910).

Almost surely, 2221163144 is an apocalyptic number.

221163144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221163144 is an abundant number, since it is smaller than the sum of its proper divisors (332465976).

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

221163144 is a wasteful number, since it uses less digits than its factorization.

221163144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 12025 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 221163144 is about 14871.5548615469. The cubic root of 221163144 is about 604.7430951682.

The spelling of 221163144 in words is "two hundred twenty-one million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 823 1646 2469 3292 4938 6584 9876 11197 19752 22394 33591 44788 67182 89576 134364 268728 9215131 18430262 27645393 36860524 55290786 73721048 110581572 221163144