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21332220 = 22357133907
BaseRepresentation
bin101000101100…
…0000011111100
31111010210022020
41101120003330
520430112340
62041120140
7346215030
oct121300374
944123266
1021332220
1111050238
127189050
13455b920
142b941c0
151d159d0
hex14580fc

21332220 has 96 divisors (see below), whose sum is σ = 73532928. Its totient is φ = 4499712.

The previous prime is 21332209. The next prime is 21332221. The reversal of 21332220 is 2223312.

It is a super-2 number, since 2×213322202 = 910127220256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21332220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332221) 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 31 ways as a sum of consecutive naturals, for example, 3507 + ... + 7413.

It is an arithmetic number, because the mean of its divisors is an integer number (765968).

Almost surely, 221332220 is an apocalyptic number.

21332220 is a gapful number since it is divisible by the number (20) 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 21332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36766464).

21332220 is an abundant number, since it is smaller than the sum of its proper divisors (52200708).

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

21332220 is a wasteful number, since it uses less digits than its factorization.

21332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 21332220 is about 4618.6816300758. The cubic root of 21332220 is about 277.3396850175.

Adding to 21332220 its reverse (2223312), we get a palindrome (23555532).

The spelling of 21332220 in words is "twenty-one million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3907 5460 7814 11721 15628 19535 23442 27349 39070 46884 50791 54698 58605 78140 82047 101582 109396 117210 136745 152373 164094 203164 234420 253955 273490 304746 328188 355537 410235 507910 546980 609492 711074 761865 820470 1015820 1066611 1422148 1523730 1640940 1777685 2133222 3047460 3555370 4266444 5333055 7110740 10666110 21332220