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23129262 = 23213971019
BaseRepresentation
bin101100000111…
…0110010101110
31121112002101100
41120032302232
521410114022
62143423530
7400411152
oct130166256
947462340
1023129262
11120683a2
1278b4ba6
134a3a870
143101062
15206d1ac
hex160ecae

23129262 has 48 divisors (see below), whose sum is σ = 54578160. Its totient is φ = 7036416.

The previous prime is 23129261. The next prime is 23129273. The reversal of 23129262 is 26292132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23129261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22189 + ... + 23207.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 223129262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23129262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27289080).

23129262 is an abundant number, since it is smaller than the sum of its proper divisors (31448898).

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

23129262 is a wasteful number, since it uses less digits than its factorization.

23129262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1134 counting only the distinct ones).

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

The square root of 23129262 is about 4809.2891366604. The cubic root of 23129262 is about 284.9184623625.

The spelling of 23129262 in words is "twenty-three million, one hundred twenty-nine thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1019 1261 1746 2038 2522 3057 3783 6114 7566 9171 11349 13247 18342 22698 26494 39741 79482 98843 119223 197686 238446 296529 593058 889587 1284959 1779174 2569918 3854877 7709754 11564631 23129262