Search a number
-
+
21944544 = 2531953227
BaseRepresentation
bin101001110110…
…1100011100000
31112021220020220
41103231203200
521104211134
62102203040
7354345156
oct123554340
945256226
1021944544
1111429296
127423480
13471454b
142cb33d6
151dd7149
hex14ed8e0

21944544 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 6769152.

The previous prime is 21944537. The next prime is 21944551. The reversal of 21944544 is 44544912.

It is an interprime number because it is at equal distance from previous prime (21944537) and next prime (21944551).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×219445442 = 963126022735872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96559 + ... + 96785.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 221944544 is an apocalyptic number.

21944544 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 21944544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

21944544 is an abundant number, since it is smaller than the sum of its proper divisors (40107936).

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

21944544 is a wasteful number, since it uses less digits than its factorization.

21944544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 21944544 is about 4684.5004002561. The cubic root of 21944544 is about 279.9682957300.

The spelling of 21944544 in words is "twenty-one million, nine hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 114 152 159 212 227 228 304 318 424 454 456 608 636 681 848 908 912 1007 1272 1362 1696 1816 1824 2014 2544 2724 3021 3632 4028 4313 5088 5448 6042 7264 8056 8626 10896 12031 12084 12939 16112 17252 21792 24062 24168 25878 32224 34504 36093 48124 48336 51756 69008 72186 96248 96672 103512 138016 144372 192496 207024 228589 288744 384992 414048 457178 577488 685767 914356 1154976 1371534 1828712 2743068 3657424 5486136 7314848 10972272 21944544