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22693614736 = 2413228972
BaseRepresentation
bin10101001000101001…
…010001010010010000
32011120120001002000111
4111020221101102100
5332434031132421
614231510531104
71432240354042
oct251051212220
964516032014
1022693614736
119695a54701
124494066a94
1321a8766c00
141153d35a92
158cc48dee1
hex548a51490

22693614736 has 45 divisors (see below), whose sum is σ = 47627711211. Its totient is φ = 10470360576.

The previous prime is 22693614719. The next prime is 22693614791. The reversal of 22693614736 is 63741639622.

The square root of 22693614736 is 150644.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12419765136 + 10273849600 = 111444^2 + 101360^2 .

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 22693614736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7832040 + ... + 7834936.

Almost surely, 222693614736 is an apocalyptic number.

22693614736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22693614736 is the 150644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22693614736

22693614736 is an abundant number, since it is smaller than the sum of its proper divisors (24934096475).

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

22693614736 is an frugal number, since it uses more digits than its factorization.

22693614736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 2912 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 49.

Multiplying 22693614736 by its sum of digits (49), we get a square (1111987122064 = 10545082).

The spelling of 22693614736 in words is "twenty-two billion, six hundred ninety-three million, six hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 2897 5794 11588 23176 37661 46352 75322 150644 301288 489593 602576 979186 1958372 3916744 7833488 8392609 16785218 33570436 67140872 109103917 134281744 218207834 436415668 872831336 1418350921 1745662672 2836701842 5673403684 11346807368 22693614736