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23228503281 = 3210125032
BaseRepresentation
bin10101101000100001…
…101101010011110001
32012221211112020011100
4111220201231103301
5340032444101111
614400535235013
71451424006624
oct255041552361
965854466140
1023228503281
11993a980355
124603218a69
1322625160c9
1411a4daddbb
1590e3e9756
hex56886d4f1

23228503281 has 27 divisors (see below), whose sum is σ = 33955277707. Its totient is φ = 15301863600.

The previous prime is 23228503279. The next prime is 23228503283. The reversal of 23228503281 is 18230582232.

It is a happy number.

The square root of 23228503281 is 152409.

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

23228503281 is a `hidden beast` number, since 2 + 322 + 8 + 5 + 0 + 328 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23228503279) and next prime (23228503283).

It can be written as a sum of positive squares in only one way, i.e., 22317670881 + 910832400 = 149391^2 + 30180^2 .

It is not a de Polignac number, because 23228503281 - 21 = 23228503279 is a prime.

It is a super-2 number, since 2×232285032812 (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 (23228503283) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 46179676 + ... + 46180178.

Almost surely, 223228503281 is an apocalyptic number.

23228503281 is the 152409-th square number.

23228503281 is the 76205-th centered octagonal number.

It is an amenable number.

23228503281 is a deficient number, since it is larger than the sum of its proper divisors (10726774426).

23228503281 is an frugal number, since it uses more digits than its factorization.

23228503281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 23228503281 by its sum of digits (36), we get a square (836226118116 = 9144542).

The spelling of 23228503281 in words is "twenty-three billion, two hundred twenty-eight million, five hundred three thousand, two hundred eighty-one".

Divisors: 1 3 9 101 303 503 909 1509 4527 10201 30603 50803 91809 152409 253009 457227 759027 2277081 5131103 15393309 25553909 46179927 76661727 229985181 2580944809 7742834427 23228503281