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22397816281 = 103214532
BaseRepresentation
bin10100110111000000…
…111000110111011001
32010210221102221211011
4110313000320313121
5331332320110111
614142302533521
71422016203631
oct246700706731
963727387734
1022397816281
119553a8a975
124410b972a1
13215c3aa639
1411269376c1
158b1510021
hex537038dd9

22397816281 has 9 divisors (see below), whose sum is σ = 22632958719. Its totient is φ = 22165096536.

The previous prime is 22397816279. The next prime is 22397816327. The reversal of 22397816281 is 18261879322.

The square root of 22397816281 is 149659.

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

It can be written as a sum of positive squares in only one way, i.e., 21846318025 + 551498256 = 147805^2 + 23484^2 .

It is not a de Polignac number, because 22397816281 - 21 = 22397816279 is a prime.

It is a super-2 number, since 2×223978162812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22397816261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15414151 + ... + 15415603.

It is an arithmetic number, because the mean of its divisors is an integer number (2514773191).

Almost surely, 222397816281 is an apocalyptic number.

22397816281 is the 149659-th square number.

22397816281 is the 74830-th centered octagonal number.

It is an amenable number.

22397816281 is a deficient number, since it is larger than the sum of its proper divisors (235142438).

22397816281 is an frugal number, since it uses more digits than its factorization.

22397816281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 1556 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

Multiplying 22397816281 by its sum of digits (49), we get a square (1097492997769 = 10476132).

The spelling of 22397816281 in words is "twenty-two billion, three hundred ninety-seven million, eight hundred sixteen thousand, two hundred eighty-one".

Divisors: 1 103 1453 10609 149659 2111209 15414877 217454527 22397816281