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22131033320 = 235112329731033
BaseRepresentation
bin10100100111000111…
…001100010011101000
32010010100102222101202
4110213013030103220
5330311021031240
614100012503332
71412266452014
oct244707142350
963110388352
1022131033320
119427433990
12435777ab48
13211903cbb6
1410dd32d544
15897db3315
hex5271cc4e8

22131033320 has 256 divisors, whose sum is σ = 59498841600. Its totient is φ = 7323402240.

The previous prime is 22131033319. The next prime is 22131033329. The reversal of 22131033320 is 2333013122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22131033292 and 22131033301.

It is not an unprimeable number, because it can be changed into a prime (22131033329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21423524 + ... + 21424556.

It is an arithmetic number, because the mean of its divisors is an integer number (232417350).

Almost surely, 222131033320 is an apocalyptic number.

22131033320 is a gapful number since it is divisible by the number (20) 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 22131033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29749420800).

22131033320 is an abundant number, since it is smaller than the sum of its proper divisors (37367808280).

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

22131033320 is a wasteful number, since it uses less digits than its factorization.

22131033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 22131033320 its reverse (2333013122), we get a palindrome (24464046442).

The spelling of 22131033320 in words is "twenty-two billion, one hundred thirty-one million, thirty-three thousand, three hundred twenty".