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22131012220 = 22531102134961
BaseRepresentation
bin10100100111000111…
…000111001001111100
32010010100101220110021
4110213013013021330
5330311014342340
614100012221524
71412266333342
oct244707071174
963110356407
1022131012220
11942741a049
12435776a8a4
132119033405
1410dd325992
15897dabe4a
hex5271c727c

22131012220 has 48 divisors (see below), whose sum is σ = 48022684416. Its totient is φ = 8558208000.

The previous prime is 22131012191. The next prime is 22131012269. The reversal of 22131012220 is 2221013122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22131012194 and 22131012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615540 + ... + 650500.

It is an arithmetic number, because the mean of its divisors is an integer number (1000472592).

Almost surely, 222131012220 is an apocalyptic number.

22131012220 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 22131012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011342208).

22131012220 is an abundant number, since it is smaller than the sum of its proper divisors (25891672196).

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

22131012220 is a wasteful number, since it uses less digits than its factorization.

22131012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36022 (or 36020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22131012220 its reverse (2221013122), we get a palindrome (24352025342).

The spelling of 22131012220 in words is "twenty-two billion, one hundred thirty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1021 2042 4084 5105 10210 20420 31651 34961 63302 69922 126604 139844 158255 174805 316510 349610 633020 699220 1083791 2167582 4335164 5418955 10837910 21675820 35695181 71390362 142780724 178475905 356951810 713903620 1106550611 2213101222 4426202444 5532753055 11065506110 22131012220