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21225984 = 293131063
BaseRepresentation
bin101000011111…
…0001000000000
31110221101120120
41100332020000
520413212414
62034540240
7345263223
oct120761000
943841516
1021225984
1110a8843a
127137680
134522470
142b675ba
151ce42a9
hex143e200

21225984 has 80 divisors (see below), whose sum is σ = 60954432. Its totient is φ = 6524928.

The previous prime is 21225973. The next prime is 21225989. The reversal of 21225984 is 48952212.

It is not an unprimeable number, because it can be changed into a prime (21225989) 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, 19437 + ... + 20499.

Almost surely, 221225984 is an apocalyptic number.

21225984 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 21225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477216).

21225984 is an abundant number, since it is smaller than the sum of its proper divisors (39728448).

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

21225984 is a wasteful number, since it uses less digits than its factorization.

21225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 21225984 is about 4607.1665913010. The cubic root of 21225984 is about 276.8785280664.

The spelling of 21225984 in words is "twenty-one million, two hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1063 1248 1536 1664 2126 2496 3189 3328 4252 4992 6378 6656 8504 9984 12756 13819 17008 19968 25512 27638 34016 41457 51024 55276 68032 82914 102048 110552 136064 165828 204096 221104 272128 331656 408192 442208 544256 663312 816384 884416 1326624 1632768 1768832 2653248 3537664 5306496 7075328 10612992 21225984