Search a number
-
+
22221234420 = 22357311103953
BaseRepresentation
bin10100101100011111…
…010010000011110100
32010100122011200001020
4110230133102003310
5331002114000140
614112554101140
71414443243000
oct245437220364
963318150036
1022221234420
119473342350
124381a1a7b0
132131932528
14110b2cd700
158a0c7e6d0
hex52c7d20f4

22221234420 has 384 divisors, whose sum is σ = 80007782400. Its totient is φ = 4567772160.

The previous prime is 22221234389. The next prime is 22221234433. The reversal of 22221234420 is 2443212222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23316664 + ... + 23317616.

It is an arithmetic number, because the mean of its divisors is an integer number (208353600).

Almost surely, 222221234420 is an apocalyptic number.

22221234420 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 22221234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40003891200).

22221234420 is an abundant number, since it is smaller than the sum of its proper divisors (57786547980).

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

22221234420 is a wasteful number, since it uses less digits than its factorization.

22221234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22221234420 its reverse (2443212222), we get a palindrome (24664446642).

The spelling of 22221234420 in words is "twenty-two billion, two hundred twenty-one million, two hundred thirty-four thousand, four hundred twenty".