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23126922 = 23272132017
BaseRepresentation
bin101100000111…
…0001110001010
31121111222011200
41120032032022
521410030142
62143405030
7400401300
oct130161612
947458150
1023126922
1112066665
1278b3776
134a39790
143100270
15206c64c
hex160e38a

23126922 has 72 divisors (see below), whose sum is σ = 62804196. Its totient is φ = 6096384.

The previous prime is 23126903. The next prime is 23126923. The reversal of 23126922 is 22962132.

It can be written as a sum of positive squares in 2 ways, for example, as 23126481 + 441 = 4809^2 + 21^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23126923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10458 + ... + 12474.

Almost surely, 223126922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23126922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31402098).

23126922 is an abundant number, since it is smaller than the sum of its proper divisors (39677274).

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

23126922 is a wasteful number, since it uses less digits than its factorization.

23126922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2042 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 23126922 is about 4809.0458513098. The cubic root of 23126922 is about 284.9088535865.

The spelling of 23126922 in words is "twenty-three million, one hundred twenty-six thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 2017 3822 4034 5733 6051 11466 12102 14119 18153 26221 28238 36306 42357 52442 78663 84714 98833 127071 157326 183547 197666 235989 254142 296499 367094 471978 550641 592998 889497 1101282 1284829 1651923 1778994 2569658 3303846 3854487 7708974 11563461 23126922