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224268044 = 227111379709
BaseRepresentation
bin11010101111000…
…00111100001100
3120121222222220212
431113200330030
5424403034134
634130501552
75362150460
oct1527407414
9517888825
10224268044
111056589a0
12631348b8
13376032b0
1421adc4a0
1514a4ebce
hexd5e0f0c

224268044 has 96 divisors (see below), whose sum is σ = 534374400. Its totient is φ = 79522560.

The previous prime is 224268019. The next prime is 224268047. The reversal of 224268044 is 440862422.

224268044 is digitally balanced in base 2, 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 224268044.

It is not an unprimeable number, because it can be changed into a prime (224268047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315962 + ... + 316670.

It is an arithmetic number, because the mean of its divisors is an integer number (5566400).

Almost surely, 2224268044 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 224268044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267187200).

224268044 is an abundant number, since it is smaller than the sum of its proper divisors (310106356).

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

224268044 is a wasteful number, since it uses less digits than its factorization.

224268044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 224268044 is about 14975.5815913773. The cubic root of 224268044 is about 607.5599416995.

The spelling of 224268044 in words is "two hundred twenty-four million, two hundred sixty-eight thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 91 143 154 158 182 286 308 316 364 553 572 709 869 1001 1027 1106 1418 1738 2002 2054 2212 2836 3476 4004 4108 4963 6083 7189 7799 9217 9926 11297 12166 14378 15598 18434 19852 22594 24332 28756 31196 36868 45188 54593 56011 64519 79079 101387 109186 112022 129038 158158 202774 218372 224044 258076 316316 392077 405548 616121 709709 728143 784154 1232242 1419418 1456286 1568308 2464484 2838836 2912572 4312847 5097001 8009573 8625694 10194002 16019146 17251388 20388004 32038292 56067011 112134022 224268044