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22105253000 = 2353171300309
BaseRepresentation
bin10100100101100100…
…110110010010001000
32010001112221012110002
4110211210312102020
5330232421044000
614053252142132
71411534356515
oct244544662210
963045835402
1022105253000
119413925836
12434b007948
1321138b477c
1410d9b3c30c
158959be8d5
hex525936488

22105253000 has 64 divisors (see below), whose sum is σ = 54769057200. Its totient is φ = 8321971200.

The previous prime is 22105252979. The next prime is 22105253003. The reversal of 22105253000 is 35250122.

It can be written as a sum of positive squares in 8 ways, for example, as 6754538596 + 15350714404 = 82186^2 + 123898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22105253003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633155 + ... + 667154.

Almost surely, 222105253000 is an apocalyptic number.

22105253000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105253000 is an abundant number, since it is smaller than the sum of its proper divisors (32663804200).

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

22105253000 is a wasteful number, since it uses less digits than its factorization.

22105253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300347 (or 1300333 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 22105253000 in words is "twenty-two billion, one hundred five million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 1300309 2600618 5201236 6501545 10402472 13003090 22105253 26006180 32507725 44210506 52012360 65015450 88421012 110526265 130030900 162538625 176842024 221052530 260061800 325077250 442105060 552631325 650154500 884210120 1105262650 1300309000 2210525300 2763156625 4421050600 5526313250 11052626500 22105253000