Search a number
-
+
23204450232 = 23321019413391
BaseRepresentation
bin10101100111000101…
…111100111110111000
32012220011021012120200
4111213011330332320
5340010314401412
614354315522200
71451012400255
oct254705747670
965804235520
1023204450232
1199283419a7
1245b7159360
13225a543c32
1411a1b0c42c
1590c2479dc
hex56717cfb8

23204450232 has 96 divisors (see below), whose sum is σ = 63553800960. Its totient is φ = 7647840000.

The previous prime is 23204450219. The next prime is 23204450251. The reversal of 23204450232 is 23205440232.

It is a happy number.

23204450232 is a `hidden beast` number, since 2 + 3 + 204 + 450 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23204450196 and 23204450205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6841257 + ... + 6844647.

It is an arithmetic number, because the mean of its divisors is an integer number (662018760).

Almost surely, 223204450232 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 23204450232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31776900480).

23204450232 is an abundant number, since it is smaller than the sum of its proper divisors (40349350728).

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

23204450232 is a wasteful number, since it uses less digits than its factorization.

23204450232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23204450232 its reverse (23205440232), we get a palindrome (46409890464).

The spelling of 23204450232 in words is "twenty-three billion, two hundred four million, four hundred fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 941 1212 1818 1882 2424 2823 3391 3636 3764 5646 6782 7272 7528 8469 10173 11292 13564 16938 20346 22584 27128 30519 33876 40692 61038 67752 81384 95041 122076 190082 244152 285123 342491 380164 570246 684982 760328 855369 1027473 1140492 1369964 1710738 2054946 2280984 2739928 3082419 3190931 3421476 4109892 6164838 6381862 6842952 8219784 9572793 12329676 12763724 19145586 24659352 25527448 28718379 38291172 57436758 76582344 114873516 229747032 322284031 644568062 966852093 1289136124 1933704186 2578272248 2900556279 3867408372 5801112558 7734816744 11602225116 23204450232