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22111392601 = 17287472
BaseRepresentation
bin10100100101111100…
…010001001101011001
32010001222111010101201
4110211330101031121
5330241004030401
614054031514201
71411640510314
oct244574211531
963058433351
1022111392601
119417339591
124351088961
132114c5417c
1410da89997b
158962d3b01
hex525f11359

22111392601 has 9 divisors (see below), whose sum is σ = 23491258399. Its totient is φ = 20808343264.

The previous prime is 22111392587. The next prime is 22111392623. The reversal of 22111392601 is 10629311122.

The square root of 22111392601 is 148699.

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., 17214752025 + 4896640576 = 131205^2 + 69976^2 .

It is not a de Polignac number, because 22111392601 - 213 = 22111384409 is a prime.

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 22111392601.

It is not an unprimeable number, because it can be changed into a prime (22111392691) 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 8 ways as a sum of consecutive naturals, for example, 2523510 + ... + 2532256.

Almost surely, 222111392601 is an apocalyptic number.

22111392601 is the 148699-th square number.

22111392601 is the 74350-th centered octagonal number.

It is an amenable number.

22111392601 is a deficient number, since it is larger than the sum of its proper divisors (1379865798).

22111392601 is an frugal number, since it uses more digits than its factorization.

22111392601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Multiplying 22111392601 by its product of nonzero digits (1296), we get a square (28656364810896 = 53531642).

The spelling of 22111392601 in words is "twenty-two billion, one hundred eleven million, three hundred ninety-two thousand, six hundred one".

Divisors: 1 17 289 8747 148699 2527883 76510009 1300670153 22111392601