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22412242144 = 2529223108301
BaseRepresentation
bin10100110111110111…
…111010110011100000
32010211221120212101101
4110313313322303200
5331400013222034
614143540044144
71422252625555
oct246767726340
963757525341
1022412242144
119561143276
124415993654
13216238b856
141128810a2c
158b290e514
hex537dface0

22412242144 has 48 divisors (see below), whose sum is σ = 45850734720. Its totient is φ = 10771084800.

The previous prime is 22412242133. The next prime is 22412242147. The reversal of 22412242144 is 44124221422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412242147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152794 + ... + 261094.

It is an arithmetic number, because the mean of its divisors is an integer number (955223640).

Almost surely, 222412242144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22412242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22925367360).

22412242144 is an abundant number, since it is smaller than the sum of its proper divisors (23438492576).

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

22412242144 is a wasteful number, since it uses less digits than its factorization.

22412242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108563 (or 108555 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

Adding to 22412242144 its reverse (44124221422), we get a palindrome (66536463566).

The spelling of 22412242144 in words is "twenty-two billion, four hundred twelve million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 223 232 446 464 892 928 1784 3568 6467 7136 12934 25868 51736 103472 108301 206944 216602 433204 866408 1732816 3140729 3465632 6281458 12562916 24151123 25125832 48302246 50251664 96604492 100503328 193208984 386417968 700382567 772835936 1400765134 2801530268 5603060536 11206121072 22412242144