Search a number
-
+
21954944 = 271131503
BaseRepresentation
bin101001111000…
…0000110000000
31112022102112002
41103300012000
521110024234
62102323132
7354420404
oct123600600
945272462
1021954944
1111436090
1274294a8
1347191bb
142cb7104
151dda27e
hex14f0180

21954944 has 64 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 9638400.

The previous prime is 21954941. The next prime is 21954953. The reversal of 21954944 is 44945912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21954898 and 21954907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21954941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43397 + ... + 43899.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 221954944 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 21954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

21954944 is an abundant number, since it is smaller than the sum of its proper divisors (27396736).

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

21954944 is a wasteful number, since it uses less digits than its factorization.

21954944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 21954944 is about 4685.6103124353. The cubic root of 21954944 is about 280.0125164473.

The spelling of 21954944 in words is "twenty-one million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 503 682 704 992 1006 1364 1408 1984 2012 2728 3968 4024 5456 5533 8048 10912 11066 15593 16096 21824 22132 31186 32192 43648 44264 62372 64384 88528 124744 171523 177056 249488 343046 354112 498976 686092 708224 997952 1372184 1995904 2744368 5488736 10977472 21954944