Search a number
-
+
10223132232 = 2332336172963
BaseRepresentation
bin10011000010101100…
…01001111001001000
3222101110121221000010
421201112021321020
5131414110212412
64410233111520
7511224122145
oct114126117110
928343557003
1010223132232
114376767615
121b938585a0
13c6bcb3791
146cda473cc
153ec78633c
hex261589e48

10223132232 has 64 divisors (see below), whose sum is σ = 25717798080. Its totient is φ = 3386442752.

The previous prime is 10223132219. The next prime is 10223132239. The reversal of 10223132232 is 23223132201.

It is a happy number.

It is a super-3 number, since 3×102231322323 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10223132199 and 10223132208.

It is not an unprimeable number, because it can be changed into a prime (10223132239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3448783 + ... + 3451745.

It is an arithmetic number, because the mean of its divisors is an integer number (401840595).

Almost surely, 210223132232 is an apocalyptic number.

10223132232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10223132232 is an abundant number, since it is smaller than the sum of its proper divisors (15494665848).

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

10223132232 is a wasteful number, since it uses less digits than its factorization.

10223132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10223132232 its reverse (23223132201), we get a palindrome (33446264433).

The spelling of 10223132232 in words is "ten billion, two hundred twenty-three million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 233 466 617 699 932 1234 1398 1851 1864 2468 2796 2963 3702 4936 5592 5926 7404 8889 11852 14808 17778 23704 35556 71112 143761 287522 431283 575044 690379 862566 1150088 1380758 1725132 1828171 2071137 2761516 3450264 3656342 4142274 5484513 5523032 7312684 8284548 10969026 14625368 16569096 21938052 43876104 425963843 851927686 1277891529 1703855372 2555783058 3407710744 5111566116 10223132232