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22644106000 = 245311322053
BaseRepresentation
bin10101000101101100…
…011010001100010000
32011110002212202210121
4111011230122030100
5332333342343000
614222541440024
71431066503515
oct250554321420
964402782717
1022644106000
119670009a9a
12447b570014
13219b4212b9
14114b52930c
158c7e5eb1a
hex545b1a310

22644106000 has 40 divisors (see below), whose sum is σ = 54753453144. Its totient is φ = 9057641600.

The previous prime is 22644105971. The next prime is 22644106003. The reversal of 22644106000 is 60144622.

It can be written as a sum of positive squares in 4 ways, for example, as 2334435856 + 20309670144 = 48316^2 + 142512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22644106003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5659027 + ... + 5663026.

Almost surely, 222644106000 is an apocalyptic number.

22644106000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22644106000 is an abundant number, since it is smaller than the sum of its proper divisors (32109347144).

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

22644106000 is a wasteful number, since it uses less digits than its factorization.

22644106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322076 (or 11322060 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 22644106000 in words is "twenty-two billion, six hundred forty-four million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11322053 22644106 45288212 56610265 90576424 113220530 181152848 226441060 283051325 452882120 566102650 905764240 1132205300 1415256625 2264410600 2830513250 4528821200 5661026500 11322053000 22644106000