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21894444 = 223211134253
BaseRepresentation
bin101001110000…
…1010100101100
31112012100112100
41103201110230
521101110234
62101135100
7354046125
oct123412454
945170470
1021894444
11113a4690
1273ba490
1346c77c0
142c9d04c
151dc7399
hex14e152c

21894444 has 72 divisors (see below), whose sum is σ = 65035152. Its totient is φ = 6122880.

The previous prime is 21894443. The next prime is 21894493. The reversal of 21894444 is 44449812.

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 = 21894399 and 21894408.

It is not an unprimeable number, because it can be changed into a prime (21894443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3022 + ... + 7274.

It is an arithmetic number, because the mean of its divisors is an integer number (903266).

Almost surely, 221894444 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 21894444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32517576).

21894444 is an abundant number, since it is smaller than the sum of its proper divisors (43140708).

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

21894444 is a wasteful number, since it uses less digits than its factorization.

21894444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4282 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21894444 is about 4679.1499227958. The cubic root of 21894444 is about 279.7550749342.

The spelling of 21894444 in words is "twenty-one million, eight hundred ninety-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 4253 5148 8506 12759 17012 25518 38277 46783 51036 55289 76554 93566 110578 140349 153108 165867 187132 221156 280698 331734 421047 497601 561396 608179 663468 842094 995202 1216358 1684188 1824537 1990404 2432716 3649074 5473611 7298148 10947222 21894444