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21224410596 = 2232242812
BaseRepresentation
bin10011110001000100…
…101100110111100100
32000210011110202211100
4103301010230313210
5321431422114341
613430024440100
71350650341044
oct236104546744
960704422740
1021224410596
119001698904
124144019030
132003267c4c
141054b6b724
158434c93b6
hex4f112cde4

21224410596 has 27 divisors (see below), whose sum is σ = 53652803113. Its totient is φ = 7074512160.

The previous prime is 21224410499. The next prime is 21224410601. The reversal of 21224410596 is 69501442212.

It is a happy number.

The square root of 21224410596 is 145686.

It is a perfect power (a square), and thus also a powerful number.

21224410596 is a `hidden beast` number, since 2 + 1 + 2 + 24 + 41 + 0 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20338752996 + 885657600 = 142614^2 + 29760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21224410596.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 861976 + ... + 886256.

Almost surely, 221224410596 is an apocalyptic number.

21224410596 is the 145686-th square number.

It is an amenable number.

21224410596 is an abundant number, since it is smaller than the sum of its proper divisors (32428392517).

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

21224410596 is an frugal number, since it uses more digits than its factorization.

21224410596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48572 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 21224410596 by its sum of digits (36), we get a square (764078781456 = 8741162).

21224410596 divided by its sum of digits (36) gives a square (589566961 = 242812).

The spelling of 21224410596 in words is "twenty-one billion, two hundred twenty-four million, four hundred ten thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 24281 48562 72843 97124 145686 218529 291372 437058 874116 589566961 1179133922 1768700883 2358267844 3537401766 5306102649 7074803532 10612205298 21224410596