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23219248 = 2413231277
BaseRepresentation
bin101100010010…
…0110000110000
31121200122211011
41120210300300
521421003443
62145400304
7401234413
oct130446060
947618734
1023219248
1112119a68
127939094
134a6c800
143125b7a
152089b9d
hex1624c30

23219248 has 60 divisors (see below), whose sum is σ = 50467008. Its totient is φ = 10333440.

The previous prime is 23219237. The next prime is 23219249. The reversal of 23219248 is 84291232.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (23219249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83686 + ... + 83962.

Almost surely, 223219248 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 23219248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233504).

23219248 is an abundant number, since it is smaller than the sum of its proper divisors (27247760).

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

23219248 is a wasteful number, since it uses less digits than its factorization.

23219248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 23219248 is about 4818.6354915059. The cubic root of 23219248 is about 285.2874825637.

The spelling of 23219248 in words is "twenty-three million, two hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 277 338 403 496 554 676 806 1108 1352 1612 2216 2704 3224 3601 4432 5239 6448 7202 8587 10478 14404 17174 20956 28808 34348 41912 46813 57616 68696 83824 93626 111631 137392 187252 223262 374504 446524 749008 893048 1451203 1786096 2902406 5804812 11609624 23219248