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22154132000 = 2553711213503
BaseRepresentation
bin10100101000011111…
…010011101000100000
32010011221220111211102
4110220133103220200
5330332424211000
614102155533532
71413000005060
oct245037235040
963157814742
1022154132000
119439480300
12436345a2a8
132120a69860
1411024233a0
15899e273d5
hex5287d3a20

22154132000 has 576 divisors, whose sum is σ = 73784535552. Its totient is φ = 6361344000.

The previous prime is 22154131933. The next prime is 22154132071. The reversal of 22154132000 is 23145122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 44043749 + ... + 44044251.

It is an arithmetic number, because the mean of its divisors is an integer number (128098152).

Almost surely, 222154132000 is an apocalyptic number.

22154132000 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 22154132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892267776).

22154132000 is an abundant number, since it is smaller than the sum of its proper divisors (51630403552).

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

22154132000 is a wasteful number, since it uses less digits than its factorization.

22154132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22154132000 its reverse (23145122), we get a palindrome (22177277122).

The spelling of 22154132000 in words is "twenty-two billion, one hundred fifty-four million, one hundred thirty-two thousand".