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23822968 = 23133741151
BaseRepresentation
bin101101011100…
…0001001111000
31122211022222011
41122320021320
522044313333
62210335304
7406330501
oct132701170
948738864
1023822968
11124a1604
127b8a534
134c21540
143241ba8
1521589cd
hex16b8278

23822968 has 64 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 10368000.

The previous prime is 23822959. The next prime is 23823011. The reversal of 23822968 is 86922832.

It is a self number, because there is not a number n which added to its sum of digits gives 23822968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157693 + ... + 157843.

It is an arithmetic number, because the mean of its divisors is an integer number (796005).

Almost surely, 223822968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23822968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472160).

23822968 is an abundant number, since it is smaller than the sum of its proper divisors (27121352).

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

23822968 is a wasteful number, since it uses less digits than its factorization.

23822968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 23822968 is about 4880.8777899062. The cubic root of 23822968 is about 287.7389287918.

The spelling of 23822968 in words is "twenty-three million, eight hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 37 41 52 74 82 104 148 151 164 296 302 328 481 533 604 962 1066 1208 1517 1924 1963 2132 3034 3848 3926 4264 5587 6068 6191 7852 11174 12136 12382 15704 19721 22348 24764 39442 44696 49528 72631 78884 80483 145262 157768 160966 229067 290524 321932 458134 581048 643864 916268 1832536 2977871 5955742 11911484 23822968