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22154327040 = 2103541127277
BaseRepresentation
bin10100101000100000…
…000011010000000000
32010011222021102101010
4110220200003100000
5330333001431130
614102204040520
71413001446516
oct245040032000
963158242333
1022154327040
1194395a389a
124363533140
132120b07571
1411024744b6
15899e650b0
hex528803400

22154327040 has 352 divisors, whose sum is σ = 73423171584. Its totient is φ = 5697699840.

The previous prime is 22154326993. The next prime is 22154327059. The reversal of 22154327040 is 4072345122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22154326989 and 22154327007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79979382 + ... + 79979658.

Almost surely, 222154327040 is an apocalyptic number.

22154327040 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 22154327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36711585792).

22154327040 is an abundant number, since it is smaller than the sum of its proper divisors (51268844544).

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

22154327040 is a wasteful number, since it uses less digits than its factorization.

22154327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 22154327040 in words is "twenty-two billion, one hundred fifty-four million, three hundred twenty-seven thousand, forty".