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21122304 = 28373929
BaseRepresentation
bin101000010010…
…0110100000000
31110202010100120
41100210310000
520401403204
62032420240
7344352030
oct120446400
943663316
1021122304
1110a17555
1270a7680
1344b7208
142b3b8c0
151cc36d9
hex1424d00

21122304 has 72 divisors (see below), whose sum is σ = 64263360. Its totient is φ = 6033408.

The previous prime is 21122291. The next prime is 21122323. The reversal of 21122304 is 40322112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3412 + ... + 7340.

Almost surely, 221122304 is an apocalyptic number.

21122304 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 21122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32131680).

21122304 is an abundant number, since it is smaller than the sum of its proper divisors (43141056).

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

21122304 is an equidigital number, since it uses as much as digits as its factorization.

21122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21122304 is about 4595.9007822189. The cubic root of 21122304 is about 276.4269803597.

Adding to 21122304 its reverse (40322112), we get a palindrome (61444416).

The spelling of 21122304 in words is "twenty-one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3929 5376 7858 11787 15716 23574 27503 31432 47148 55006 62864 82509 94296 110012 125728 165018 188592 220024 251456 330036 377184 440048 502912 660072 754368 880096 1005824 1320144 1508736 1760192 2640288 3017472 3520384 5280576 7040768 10561152 21122304