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22242018000 = 24353172101127
BaseRepresentation
bin10100101101101110…
…100100001011010000
32010102002021120202110
4110231232210023100
5331022424034000
614115015345320
71415115014346
oct245556441320
963362246673
1022242018000
119484048364
124388982240
13213602b4c7
14110dd7d996
158a29d7850
hex52dba42d0

22242018000 has 480 divisors, whose sum is σ = 77534466048. Its totient is φ = 5483520000.

The previous prime is 22242017953. The next prime is 22242018011. The reversal of 22242018000 is 81024222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175133937 + ... + 175134063.

Almost surely, 222242018000 is an apocalyptic number.

22242018000 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 22242018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38767233024).

22242018000 is an abundant number, since it is smaller than the sum of its proper divisors (55292448048).

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

22242018000 is a wasteful number, since it uses less digits than its factorization.

22242018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The spelling of 22242018000 in words is "twenty-two billion, two hundred forty-two million, eighteen thousand".