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225766526740 = 2253728245673
BaseRepresentation
bin1101001001000010111…
…0111100111100010100
3210120202001112212022121
43102100232330330110
512144332212323430
6251414332105324
722211463546136
oct3222056747424
9716661485277
10225766526740
11878243560a7
1237908905244
131839c5b86c1
14acda19d056
155d155aaa7a
hex3490bbcf14

225766526740 has 36 divisors (see below), whose sum is σ = 487269859356. Its totient is φ = 87865880832.

The previous prime is 225766526723. The next prime is 225766526747. The reversal of 225766526740 is 47625667522.

225766526740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4939840656 + 220826686084 = 70284^2 + 469922^2 .

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225766526747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4095457 + ... + 4150216.

It is an arithmetic number, because the mean of its divisors is an integer number (13535273871).

Almost surely, 2225766526740 is an apocalyptic number.

225766526740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225766526740 is an abundant number, since it is smaller than the sum of its proper divisors (261503332616).

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

225766526740 is a wasteful number, since it uses less digits than its factorization.

225766526740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245756 (or 8245717 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 52.

The spelling of 225766526740 in words is "two hundred twenty-five billion, seven hundred sixty-six million, five hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 27380 8245673 16491346 32982692 41228365 82456730 164913460 305089901 610179802 1220359604 1525449505 3050899010 6101798020 11288326337 22576652674 45153305348 56441631685 112883263370 225766526740