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21220864 = 29731191
BaseRepresentation
bin101000011110…
…0111000000000
31110221010112221
41100330320000
520413031424
62034500424
7345242260
oct120747000
943833487
1021220864
1110a84605
127134714
134520032
142b657a0
151ce29e4
hex143ce00

21220864 has 80 divisors (see below), whose sum is σ = 50282496. Its totient is φ = 8755200.

The previous prime is 21220861. The next prime is 21220867. The reversal of 21220864 is 46802212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21220861) and next prime (21220867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220861) 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, 111009 + ... + 111199.

Almost surely, 221220864 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 21220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141248).

21220864 is an abundant number, since it is smaller than the sum of its proper divisors (29061632).

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

21220864 is an equidigital number, since it uses as much as digits as its factorization.

21220864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 21220864 is about 4606.6109017368. The cubic root of 21220864 is about 276.8562639700.

The spelling of 21220864 in words is "twenty-one million, two hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 191 217 224 248 256 382 434 448 496 512 764 868 896 992 1337 1528 1736 1792 1984 2674 3056 3472 3584 3968 5348 5921 6112 6944 7936 10696 11842 12224 13888 15872 21392 23684 24448 27776 41447 42784 47368 48896 55552 82894 85568 94736 97792 111104 165788 171136 189472 331576 342272 378944 663152 684544 757888 1326304 1515776 2652608 3031552 5305216 10610432 21220864