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225524212020 = 223251252912289
BaseRepresentation
bin1101001000001001001…
…0100110000100110100
3210120010011121000000100
43102002102212010310
512143333144241040
6251334314314100
722202462113212
oct3220222460464
9716104530010
10225524212020
118770a5a14a8
123785b728930
1318361337103
14acb5d23cb2
155cee193b30
hex34824a6134

225524212020 has 36 divisors (see below), whose sum is σ = 684090110340. Its totient is φ = 60139789824.

The previous prime is 225524211971. The next prime is 225524212037. The reversal of 225524212020 is 20212425522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65349764496 + 160174447524 = 255636^2 + 400218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2255242120202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626455965 + ... + 626456324.

It is an arithmetic number, because the mean of its divisors is an integer number (19002503065).

Almost surely, 2225524212020 is an apocalyptic number.

225524212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225524212020 is an abundant number, since it is smaller than the sum of its proper divisors (458565898320).

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

225524212020 is a wasteful number, since it uses less digits than its factorization.

225524212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252912304 (or 1252912299 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 225524212020 its reverse (20212425522), we get a palindrome (245736637542).

The spelling of 225524212020 in words is "two hundred twenty-five billion, five hundred twenty-four million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1252912289 2505824578 3758736867 5011649156 6264561445 7517473734 11276210601 12529122890 15034947468 18793684335 22552421202 25058245780 37587368670 45104842404 56381053005 75174737340 112762106010 225524212020