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22205052340 = 2252938284573
BaseRepresentation
bin10100101011100001…
…100011010110110100
32010022111201112101221
4110223201203112310
5330433443133330
614111215200124
71414155554632
oct245341432664
963274645357
1022205052340
11946519a529
124378516044
13212b487b33
1411090ba352
1589e634b7a
hex52b8635b4

22205052340 has 24 divisors (see below), whose sum is σ = 48238563240. Its totient is φ = 8575744128.

The previous prime is 22205052329. The next prime is 22205052361. The reversal of 22205052340 is 4325050222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7686730276 + 14518322064 = 87674^2 + 120492^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19141707 + ... + 19142866.

It is an arithmetic number, because the mean of its divisors is an integer number (2009940135).

Almost surely, 222205052340 is an apocalyptic number.

22205052340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22205052340 is an abundant number, since it is smaller than the sum of its proper divisors (26033510900).

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

22205052340 is a wasteful number, since it uses less digits than its factorization.

22205052340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38284611 (or 38284609 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 22205052340 in words is "twenty-two billion, two hundred five million, fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 38284573 76569146 153138292 191422865 382845730 765691460 1110252617 2220505234 4441010468 5551263085 11102526170 22205052340