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21952944 = 2434131303
BaseRepresentation
bin101001110111…
…1100110110000
31112022022210000
41103233212300
521104443234
62102310000
7354411516
oct123574660
945268700
1021952944
1111434632
127428300
134718310
142cb64b6
151dd9899
hex14ef9b0

21952944 has 100 divisors (see below), whose sum is σ = 68478256. Its totient is φ = 6749568.

The previous prime is 21952939. The next prime is 21952963. The reversal of 21952944 is 44925912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21952899 and 21952908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16197 + ... + 17499.

Almost surely, 221952944 is an apocalyptic number.

21952944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21952944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34239128).

21952944 is an abundant number, since it is smaller than the sum of its proper divisors (46525312).

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

21952944 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (21952943) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1321).

21952944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1321 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 21952944 is about 4685.3968882049. The cubic root of 21952944 is about 280.0040135479.

The spelling of 21952944 in words is "twenty-one million, nine hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1303 1404 1872 2106 2606 2808 3909 4212 5212 5616 7818 8424 10424 11727 15636 16848 16939 20848 23454 31272 33878 35181 46908 50817 62544 67756 70362 93816 101634 105543 135512 140724 152451 187632 203268 211086 271024 281448 304902 406536 422172 457353 562896 609804 813072 844344 914706 1219608 1372059 1688688 1829412 2439216 2744118 3658824 5488236 7317648 10976472 21952944