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22238001680 = 245733807877
BaseRepresentation
bin10100101101011111…
…001111101000010000
32010101210201112101212
4110231133033220100
5331020412023210
614114353315252
71415035616066
oct245537175020
963353645355
1022238001680
119481854894
124387565b28
13213525339b
14110d616036
158a2492805
hex52d7cfa10

22238001680 has 40 divisors (see below), whose sum is σ = 52411632792. Its totient is φ = 8773346304.

The previous prime is 22238001677. The next prime is 22238001689. The reversal of 22238001680 is 8610083222.

It can be written as a sum of positive squares in 4 ways, for example, as 6394241296 + 15843760384 = 79964^2 + 125872^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22238001689) 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, 1898099 + ... + 1909778.

Almost surely, 222238001680 is an apocalyptic number.

22238001680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22238001680 is an abundant number, since it is smaller than the sum of its proper divisors (30173631112).

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

22238001680 is a wasteful number, since it uses less digits than its factorization.

22238001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807963 (or 3807957 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 22238001680 in words is "twenty-two billion, two hundred thirty-eight million, one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 3807877 7615754 15231508 19039385 30463016 38078770 60926032 76157540 152315080 277975021 304630160 555950042 1111900084 1389875105 2223800168 2779750210 4447600336 5559500420 11119000840 22238001680