Search a number
-
+
22010222113110 = 23257311173812819
BaseRepresentation
bin1010000000100101001110…
…11110000111000101010110
32212221011020020000111122200
411000102213132013011112
510341103413330104420
6114451204554305330
74431120552036000
oct500224736070526
985834206014580
1022010222113110
117016534639790
12257588aa28246
13c3872a562a3a
1456142c56b370
1528280a497b90
hex1404a7787156

22010222113110 has 384 divisors, whose sum is σ = 77086069632000. Its totient is φ = 4304519009280.

The previous prime is 22010222113049. The next prime is 22010222113157. The reversal of 22010222113110 is 1131122201022.

22010222113110 is a `hidden beast` number, since 220 + 1 + 0 + 222 + 113 + 110 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3866281 + ... + 7679099.

It is an arithmetic number, because the mean of its divisors is an integer number (200744973000).

Almost surely, 222010222113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010222113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38543034816000).

22010222113110 is an abundant number, since it is smaller than the sum of its proper divisors (55075847518890).

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

22010222113110 is a wasteful number, since it uses less digits than its factorization.

22010222113110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812881 (or 3812864 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22010222113110 its reverse (1131122201022), we get a palindrome (23141344314132).

The spelling of 22010222113110 in words is "twenty-two trillion, ten billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred ten".