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21814980 = 22351133053
BaseRepresentation
bin101001100110…
…1111011000100
31112001022112020
41103031323010
521041034410
62055323140
7353265345
oct123157304
945038466
1021814980
111134aa10
1273804b0
13469a595
142c7c0cc
151dada70
hex14cdec4

21814980 has 48 divisors (see below), whose sum is σ = 66636864. Its totient is φ = 5288320.

The previous prime is 21814967. The next prime is 21814987. The reversal of 21814980 is 8941812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21814987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15867 + ... + 17186.

It is an arithmetic number, because the mean of its divisors is an integer number (1388268).

Almost surely, 221814980 is an apocalyptic number.

21814980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21814980 is an abundant number, since it is smaller than the sum of its proper divisors (44821884).

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

21814980 is a wasteful number, since it uses less digits than its factorization.

21814980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33076 (or 33074 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 21814980 is about 4670.6509182340. The cubic root of 21814980 is about 279.4162156610.

The spelling of 21814980 in words is "twenty-one million, eight hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 33053 66106 99159 132212 165265 198318 330530 363583 396636 495795 661060 727166 991590 1090749 1454332 1817915 1983180 2181498 3635830 4362996 5453745 7271660 10907490 21814980