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18222167040 = 2103572113171
BaseRepresentation
bin10000111110001000…
…000011010000000000
31202000221012222220120
4100332020003100000
5244304333321130
612212100140240
71213363602300
oct207610032000
952027188816
1018222167040
117800a35890
123646697680
13194527947c
14c4c13d600
15719b40910
hex43e203400

18222167040 has 1056 divisors, whose sum is σ = 77422583808. Its totient is φ = 3612672000.

The previous prime is 18222167017. The next prime is 18222167057. The reversal of 18222167040 is 4076122281.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 18222166992 and 18222167010.

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, 256650205 + ... + 256650275.

Almost surely, 218222167040 is an apocalyptic number.

18222167040 is a gapful number since it is divisible by the number (10) 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 18222167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38711291904).

18222167040 is an abundant number, since it is smaller than the sum of its proper divisors (59200416768).

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

18222167040 is a wasteful number, since it uses less digits than its factorization.

18222167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 18222167040 in words is "eighteen billion, two hundred twenty-two million, one hundred sixty-seven thousand, forty".