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23872224 = 253435783
BaseRepresentation
bin101101100010…
…0001011100000
31122220211112110
41123010023200
522102402344
62211355320
7406624215
oct133041340
948824473
1023872224
1112525612
127bb2b40
134c3aa9c
143255b0c
1521683b9
hex16c42e0

23872224 has 48 divisors (see below), whose sum is σ = 64132992. Its totient is φ = 7771008.

The previous prime is 23872223. The next prime is 23872231. The reversal of 23872224 is 42227832.

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

It is a junction number, because it is equal to n+sod(n) for n = 23872191 and 23872200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23872223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (1336104).

Almost surely, 223872224 is an apocalyptic number.

23872224 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 23872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32066496).

23872224 is an abundant number, since it is smaller than the sum of its proper divisors (40260768).

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

23872224 is a wasteful number, since it uses less digits than its factorization.

23872224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5831 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 23872224 is about 4885.9209981333. The cubic root of 23872224 is about 287.9371004612.

The spelling of 23872224 in words is "twenty-three million, eight hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 5783 11566 17349 23132 34698 46264 69396 92528 138792 185056 248669 277584 497338 555168 746007 994676 1492014 1989352 2984028 3978704 5968056 7957408 11936112 23872224