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225791443071 = 3253937150513
BaseRepresentation
bin1101001001001000111…
…0000000000001111111
3210120210210102202002200
43102102032000001333
512144410102134241
6251421022122543
722212215412405
oct3222216000177
9716723382080
10225791443071
1187837424107
1237915120453
13183a48007ac
14acdd607475
155d1787d4b6
hex349238007f

225791443071 has 24 divisors (see below), whose sum is σ = 332338880016. Its totient is φ = 147668801280.

The previous prime is 225791443063. The next prime is 225791443093. The reversal of 225791443071 is 170344197522.

225791443071 is a `hidden beast` number, since 2 + 2 + 57 + 91 + 443 + 0 + 71 = 666.

It is not a de Polignac number, because 225791443071 - 23 = 225791443063 is a prime.

It is a super-2 number, since 2×2257914430712 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (225791433071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4444711 + ... + 4495223.

It is an arithmetic number, because the mean of its divisors is an integer number (13847453334).

Almost surely, 2225791443071 is an apocalyptic number.

225791443071 is a deficient number, since it is larger than the sum of its proper divisors (106547436945).

225791443071 is a wasteful number, since it uses less digits than its factorization.

225791443071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59943 (or 59940 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 225791443071 in words is "two hundred twenty-five billion, seven hundred ninety-one million, four hundred forty-three thousand, seventy-one".

Divisors: 1 3 9 53 159 477 9371 28113 50513 84339 151539 454617 496663 1489989 2677189 4469967 8031567 24094701 473357323 1420071969 4260215907 25087938119 75263814357 225791443071