Search a number
-
+
22211131320 = 23325729491619
BaseRepresentation
bin10100101011111000…
…101111011110111000
32010022221011101012100
4110223320233132320
5330442022200240
614111553343400
71414261333620
oct245370573670
963287141170
1022211131320
119468671784
12437a567b60
13212c805a71
141109c1d880
1589ee35e30
hex52be2f7b8

22211131320 has 384 divisors, whose sum is σ = 85655232000. Its totient is φ = 4883880960.

The previous prime is 22211131249. The next prime is 22211131321. The reversal of 22211131320 is 2313111222.

22211131320 is a `hidden beast` number, since 2 + 2 + 211 + 131 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22211131293 and 22211131302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211131321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35881971 + ... + 35882589.

It is an arithmetic number, because the mean of its divisors is an integer number (223060500).

Almost surely, 222211131320 is an apocalyptic number.

22211131320 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 22211131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42827616000).

22211131320 is an abundant number, since it is smaller than the sum of its proper divisors (63444100680).

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

22211131320 is a wasteful number, since it uses less digits than its factorization.

22211131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22211131320 its reverse (2313111222), we get a palindrome (24524242542).

The spelling of 22211131320 in words is "twenty-two billion, two hundred eleven million, one hundred thirty-one thousand, three hundred twenty".