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13222310232 = 23337103144563
BaseRepresentation
bin11000101000001110…
…00111000101011000
31021010111002221202210
430110013013011120
5204034402411412
610024011555120
7645442532265
oct142407070530
937114087683
1013222310232
11567571641a
12269015baa0
13132946ab11
148d60b826c
15525c1683c
hex3141c7158

13222310232 has 64 divisors (see below), whose sum is σ = 34279015680. Its totient is φ = 4246653312.

The previous prime is 13222310221. The next prime is 13222310239. The reversal of 13222310232 is 23201322231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13222310199 and 13222310208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222310239) 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, 19183 + ... + 163745.

It is an arithmetic number, because the mean of its divisors is an integer number (535609620).

Almost surely, 213222310232 is an apocalyptic number.

13222310232 is a gapful number since it is divisible by the number (12) 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 13222310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139507840).

13222310232 is an abundant number, since it is smaller than the sum of its proper divisors (21056705448).

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

13222310232 is a wasteful number, since it uses less digits than its factorization.

13222310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144712 (or 144708 counting only the distinct ones).

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

Adding to 13222310232 its reverse (23201322231), we get a palindrome (36423632463).

The spelling of 13222310232 in words is "thirteen billion, two hundred twenty-two million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 103 111 148 206 222 296 309 412 444 618 824 888 1236 2472 3811 7622 11433 15244 22866 30488 45732 91464 144563 289126 433689 578252 867378 1156504 1734756 3469512 5348831 10697662 14889989 16046493 21395324 29779978 32092986 42790648 44669967 59559956 64185972 89339934 119119912 128371944 178679868 357359736 550929593 1101859186 1652788779 2203718372 3305577558 4407436744 6611155116 13222310232