Search a number
-
+
21881772 = 223311113163
BaseRepresentation
bin101001101111…
…0001110101100
31112011201011000
41103132032230
521100204042
62101000300
7353664153
oct123361654
945151130
1021881772
1111396110
1273b3090
1346c1ac3
142c9859a
151dc374c
hex14de3ac

21881772 has 96 divisors (see below), whose sum is σ = 62818560. Its totient is φ = 6531840.

The previous prime is 21881767. The next prime is 21881773. The reversal of 21881772 is 27718812.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21881773) 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, 134163 + ... + 134325.

It is an arithmetic number, because the mean of its divisors is an integer number (654360).

Almost surely, 221881772 is an apocalyptic number.

21881772 is a gapful number since it is divisible by the number (22) 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 21881772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31409280).

21881772 is an abundant number, since it is smaller than the sum of its proper divisors (40936788).

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

21881772 is a wasteful number, since it uses less digits than its factorization.

21881772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 21881772 is about 4677.7956346980. The cubic root of 21881772 is about 279.7010925866.

The spelling of 21881772 in words is "twenty-one million, eight hundred eighty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 113 132 163 198 226 297 326 339 396 452 489 594 652 678 978 1017 1188 1243 1356 1467 1793 1956 2034 2486 2934 3051 3586 3729 4068 4401 4972 5379 5868 6102 7172 7458 8802 10758 11187 12204 14916 16137 17604 18419 21516 22374 32274 33561 36838 44748 48411 55257 64548 67122 73676 96822 110514 134244 165771 193644 202609 221028 331542 405218 497313 607827 663084 810436 994626 1215654 1823481 1989252 2431308 3646962 5470443 7293924 10940886 21881772