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22055010420 = 22356717593119
BaseRepresentation
bin10100100010100101…
…001100000001110100
32002221001101121120210
4110202211030001310
5330132040313140
614044255225420
71410354331632
oct244245140164
962831347523
1022055010420
119398529843
124336218270
132106372b31
1410d31c0352
15891397d80
hex52294c074

22055010420 has 96 divisors (see below), whose sum is σ = 62731468800. Its totient is φ = 5788404864.

The previous prime is 22055010391. The next prime is 22055010421. The reversal of 22055010420 is 2401055022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7069621 + ... + 7072739.

It is an arithmetic number, because the mean of its divisors is an integer number (653452800).

Almost surely, 222055010420 is an apocalyptic number.

22055010420 is a gapful number since it is divisible by the number (20) 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 22055010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31365734400).

22055010420 is an abundant number, since it is smaller than the sum of its proper divisors (40676458380).

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

22055010420 is a wasteful number, since it uses less digits than its factorization.

22055010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 22055010420 its reverse (2401055022), we get a palindrome (24456065442).

The spelling of 22055010420 in words is "twenty-two billion, fifty-five million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 1759 2010 3119 3518 4020 5277 6238 7036 8795 9357 10554 12476 15595 17590 18714 21108 26385 31190 35180 37428 46785 52770 62380 93570 105540 117853 187140 208973 235706 353559 417946 471412 589265 626919 707118 835892 1044865 1178530 1253838 1414236 1767795 2089730 2357060 2507676 3134595 3535590 4179460 5486321 6269190 7071180 10972642 12538380 16458963 21945284 27431605 32917926 54863210 65835852 82294815 109726420 164589630 329179260 367583507 735167014 1102750521 1470334028 1837917535 2205501042 3675835070 4411002084 5513752605 7351670140 11027505210 22055010420