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22106482944 = 2837133783103
BaseRepresentation
bin10100100101101001…
…100010100100000000
32010001122020200121120
4110211221202210000
5330233224423234
614053334352240
71411551001410
oct244551424400
963048220546
1022106482944
119414595917
12434b4bb680
132113c25550
1410d9d7c640
15895b64049
hex525a62900

22106482944 has 576 divisors, whose sum is σ = 75996770304. Its totient is φ = 5549948928.

The previous prime is 22106482927. The next prime is 22106482949. The reversal of 22106482944 is 44928460122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22106482896 and 22106482905.

It is not an unprimeable number, because it can be changed into a prime (22106482949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214625997 + ... + 214626099.

Almost surely, 222106482944 is an apocalyptic number.

22106482944 is a gapful number since it is divisible by the number (24) 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 22106482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37998385152).

22106482944 is an abundant number, since it is smaller than the sum of its proper divisors (53890287360).

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

22106482944 is a wasteful number, since it uses less digits than its factorization.

22106482944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22106482944 in words is "twenty-two billion, one hundred six million, four hundred eighty-two thousand, nine hundred forty-four".