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22242202080 = 25357137211229
BaseRepresentation
bin10100101101101111…
…010001000111100000
32010102002121221021020
4110231233101013200
5331023000431310
614115023325440
71415116412130
oct245557210740
963362557236
1022242202080
11948416369a
124388a50880
132136094227
14110ddcaac0
158a2a22170
hex52dbd11e0

22242202080 has 384 divisors, whose sum is σ = 81392532480. Its totient is φ = 5000970240.

The previous prime is 22242202069. The next prime is 22242202109. The reversal of 22242202080 is 8020224222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22242202080.

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 63 ways as a sum of consecutive naturals, for example, 97127406 + ... + 97127634.

It is an arithmetic number, because the mean of its divisors is an integer number (211959720).

Almost surely, 222242202080 is an apocalyptic number.

22242202080 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 22242202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40696266240).

22242202080 is an abundant number, since it is smaller than the sum of its proper divisors (59150330400).

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

22242202080 is a wasteful number, since it uses less digits than its factorization.

22242202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 22242202080 in words is "twenty-two billion, two hundred forty-two million, two hundred two thousand, eighty".