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22820995152 = 243219591091297
BaseRepresentation
bin10101010000001111…
…001100000001010000
32011220102201200002200
4111100033030001100
5333214133321102
614252301043200
71435345154364
oct252017140120
964812650080
1022820995152
11975094747a
12450a856500
1321c8c76237
141166c132a4
158d875151c
hex5503cc050

22820995152 has 240 divisors, whose sum is σ = 69048408000. Its totient is φ = 7014076416.

The previous prime is 22820995151. The next prime is 22820995181. The reversal of 22820995152 is 25159902822.

It is a happy number.

22820995152 is a `hidden beast` number, since 2 + 28 + 20 + 99 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22820995098 and 22820995107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22820995151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17594568 + ... + 17595864.

It is an arithmetic number, because the mean of its divisors is an integer number (287701700).

Almost surely, 222820995152 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 22820995152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34524204000).

22820995152 is an abundant number, since it is smaller than the sum of its proper divisors (46227412848).

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

22820995152 is a wasteful number, since it uses less digits than its factorization.

22820995152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 22820995152 in words is "twenty-two billion, eight hundred twenty million, nine hundred ninety-five thousand, one hundred fifty-two".