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221054124 = 223294115493
BaseRepresentation
bin11010010110100…
…00010010101100
3120101221201020210
431023100102230
5423042212444
633533542420
75322633444
oct1513202254
9511851223
10221054124
11103863265
1262044a10
1336a49475
1421503124
15146177b9
hexd2d04ac

221054124 has 48 divisors (see below), whose sum is σ = 546628320. Its totient is φ = 69404160.

The previous prime is 221054123. The next prime is 221054131. The reversal of 221054124 is 421450122.

221054124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221054124.

It is not an unprimeable number, because it can be changed into a prime (221054123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6522 + ... + 22014.

It is an arithmetic number, because the mean of its divisors is an integer number (11388090).

Almost surely, 2221054124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221054124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273314160).

221054124 is an abundant number, since it is smaller than the sum of its proper divisors (325574196).

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

221054124 is a wasteful number, since it uses less digits than its factorization.

221054124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 221054124 is about 14867.8890229918. The cubic root of 221054124 is about 604.6437116286.

The spelling of 221054124 in words is "two hundred twenty-one million, fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 7134 14268 15493 30986 46479 61972 92958 185916 449297 635213 898594 1270426 1347891 1797188 1905639 2540852 2695782 3811278 5391564 7622556 18421177 36842354 55263531 73684708 110527062 221054124