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22054540032 = 2835750647
BaseRepresentation
bin10100100010100011…
…011001001100000000
32002221000111201100000
4110202203121030000
5330131430240112
614044241200000
71410350332350
oct244243311400
962830451300
1022054540032
119398238398
124336030000
1321062399b5
1410d30dab60
158913037dc
hex5228d9300

22054540032 has 216 divisors, whose sum is σ = 75365844736. Its totient is φ = 6301172736.

The previous prime is 22054540009. The next prime is 22054540037. The reversal of 22054540032 is 23004545022.

It is a happy number.

22054540032 is a `hidden beast` number, since 2 + 205 + 454 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×220545400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22054539978 and 22054540005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22054540037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410133 + ... + 460779.

Almost surely, 222054540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22054540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37682922368).

22054540032 is an abundant number, since it is smaller than the sum of its proper divisors (53311304704).

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

22054540032 is an frugal number, since it uses more digits than its factorization.

22054540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50685 (or 50659 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 22054540032 in words is "twenty-two billion, fifty-four million, five hundred forty thousand, thirty-two".