Search a number
-
+
22102331220 = 223351031732297
BaseRepresentation
bin10100100101011001…
…101100111101010100
32010001100102202112000
4110211121230331110
5330231144044340
614053105355300
71411500500304
oct244531547524
963040382460
1022102331220
11941220a642
12434a038b30
1321131008c8
1410d95bb604
158955e3d30
hex52566cf54

22102331220 has 192 divisors, whose sum is σ = 69862141440. Its totient is φ = 5800467456.

The previous prime is 22102331219. The next prime is 22102331221. The reversal of 22102331220 is 2213320122.

22102331220 is a `hidden beast` number, since 2 + 210 + 233 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22102331219) and next prime (22102331221).

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 = 22102331193 and 22102331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102331221) 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, 9621112 + ... + 9623408.

It is an arithmetic number, because the mean of its divisors is an integer number (363865320).

Almost surely, 222102331220 is an apocalyptic number.

22102331220 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 22102331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34931070720).

22102331220 is an abundant number, since it is smaller than the sum of its proper divisors (47759810220).

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

22102331220 is a wasteful number, since it uses less digits than its factorization.

22102331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22102331220 its reverse (2213320122), we get a palindrome (24315651342).

The spelling of 22102331220 in words is "twenty-two billion, one hundred two million, three hundred thirty-one thousand, two hundred twenty".