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22134224112 = 24371121341879
BaseRepresentation
bin10100100111010011…
…010111010011110000
32010010120110002100020
4110213103113103300
5330312330132422
614100205123440
71412335541430
oct244723272360
963116402306
1022134224112
119429213200
124358859580
1321198b9340
1410dd9202c0
158982e395c
hex5274d74f0

22134224112 has 240 divisors, whose sum is σ = 77356715520. Its totient is φ = 5306780160.

The previous prime is 22134224053. The next prime is 22134224171. The reversal of 22134224112 is 21142243122.

It is an interprime number because it is at equal distance from previous prime (22134224053) and next prime (22134224171).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507589 + ... + 549467.

It is an arithmetic number, because the mean of its divisors is an integer number (322319648).

Almost surely, 222134224112 is an apocalyptic number.

22134224112 is a gapful number since it is divisible by the number (22) 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 22134224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38678357760).

22134224112 is an abundant number, since it is smaller than the sum of its proper divisors (55222491408).

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

22134224112 is a wasteful number, since it uses less digits than its factorization.

22134224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41932 (or 41915 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 22134224112 its reverse (21142243122), we get a palindrome (43276467234).

The spelling of 22134224112 in words is "twenty-two billion, one hundred thirty-four million, two hundred twenty-four thousand, one hundred twelve".