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23083242 = 2371367631
BaseRepresentation
bin101100000001…
…1100011101010
31121102202020220
41120003203222
521402130432
62142430510
7400130040
oct130034352
947382226
1023083242
1112036866
127892436
134a22930
1430cc390
15205e72c
hex16038ea

23083242 has 64 divisors (see below), whose sum is σ = 57759744. Its totient is φ = 5987520.

The previous prime is 23083223. The next prime is 23083243. The reversal of 23083242 is 24238032.

It is a super-2 number, since 2×230832422 = 1065672122461128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23083243) 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 31 ways as a sum of consecutive naturals, for example, 36267 + ... + 36897.

It is an arithmetic number, because the mean of its divisors is an integer number (902496).

Almost surely, 223083242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23083242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28879872).

23083242 is an abundant number, since it is smaller than the sum of its proper divisors (34676502).

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

23083242 is a wasteful number, since it uses less digits than its factorization.

23083242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 23083242 is about 4804.5022635024. The cubic root of 23083242 is about 284.7293706758.

The spelling of 23083242 in words is "twenty-three million, eighty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 67 78 91 134 182 201 273 402 469 546 631 871 938 1262 1407 1742 1893 2613 2814 3786 4417 5226 6097 8203 8834 12194 13251 16406 18291 24609 26502 36582 42277 49218 57421 84554 114842 126831 172263 253662 295939 344526 549601 591878 887817 1099202 1648803 1775634 3297606 3847207 7694414 11541621 23083242