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23106144 = 2532331033
BaseRepresentation
bin101100000100…
…1001001100000
31121110220200010
41120021021200
521403344034
62143124520
7400253565
oct130111140
947426603
1023106144
1112051a96
1278a3740
134a30199
1430d686c
1520663e9
hex1609260

23106144 has 48 divisors (see below), whose sum is σ = 60972912. Its totient is φ = 7661568.

The previous prime is 23106137. The next prime is 23106151. The reversal of 23106144 is 44160132.

It is an interprime number because it is at equal distance from previous prime (23106137) and next prime (23106151).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23106144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21852 + ... + 22884.

It is an arithmetic number, because the mean of its divisors is an integer number (1270269).

Almost surely, 223106144 is an apocalyptic number.

23106144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30486456).

23106144 is an abundant number, since it is smaller than the sum of its proper divisors (37866768).

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

23106144 is a wasteful number, since it uses less digits than its factorization.

23106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23106144 is about 4806.8850620750. The cubic root of 23106144 is about 284.8235041411.

Adding to 23106144 its reverse (44160132), we get a palindrome (67266276).

The spelling of 23106144 in words is "twenty-three million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1033 1398 1864 2066 2796 3099 3728 4132 5592 6198 7456 8264 11184 12396 16528 22368 24792 33056 49584 99168 240689 481378 722067 962756 1444134 1925512 2888268 3851024 5776536 7702048 11553072 23106144