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21227968 = 2617109179
BaseRepresentation
bin101000011111…
…0100111000000
31110221111022001
41100332213000
520413243333
62034553344
7345302056
oct120764700
943844261
1021227968
1110a89983
127138854
134523338
142b681d6
151ce4b7d
hex143e9c0

21227968 has 56 divisors (see below), whose sum is σ = 45262800. Its totient is φ = 9842688.

The previous prime is 21227933. The next prime is 21227977. The reversal of 21227968 is 86972212.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 118503 + ... + 118681.

Almost surely, 221227968 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 21227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22631400).

21227968 is an abundant number, since it is smaller than the sum of its proper divisors (24034832).

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

21227968 is a wasteful number, since it uses less digits than its factorization.

21227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 21227968 is about 4607.3819029900. The cubic root of 21227968 is about 276.8871544413.

The spelling of 21227968 in words is "twenty-one million, two hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 136 179 218 272 358 436 544 716 872 1088 1432 1744 1853 2864 3043 3488 3706 5728 6086 6976 7412 11456 12172 14824 19511 24344 29648 39022 48688 59296 78044 97376 118592 156088 194752 312176 331687 624352 663374 1248704 1326748 2653496 5306992 10613984 21227968