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22258282752 = 2832231492819
BaseRepresentation
bin10100101110101100…
…100111000100000000
32010110012212220210200
4110232230213010000
5331041110022002
614120400125200
71415403165426
oct245654470400
963405786720
1022258282752
119492247302
124392306800
132139504714
1411121b5116
158a414bb1c
hex52eb27100

22258282752 has 216 divisors, whose sum is σ = 67439736000. Its totient is φ = 7046713344.

The previous prime is 22258282693. The next prime is 22258282757. The reversal of 22258282752 is 25728285222.

It is a junction number, because it is equal to n+sod(n) for n = 22258282698 and 22258282707.

It is not an unprimeable number, because it can be changed into a prime (22258282757) 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, 7894399 + ... + 7897217.

It is an arithmetic number, because the mean of its divisors is an integer number (312221000).

Almost surely, 222258282752 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 22258282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33719868000).

22258282752 is an abundant number, since it is smaller than the sum of its proper divisors (45181453248).

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

22258282752 is a wasteful number, since it uses less digits than its factorization.

22258282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2996 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The spelling of 22258282752 in words is "twenty-two billion, two hundred fifty-eight million, two hundred eighty-two thousand, seven hundred fifty-two".