Search a number
-
+
2257226726778 = 232236549530129
BaseRepresentation
bin100000110110001101001…
…100100111110101111010
321222210022000022110112200
4200312031030213311322
5243440300020224103
64444542230251030
7322036116415062
oct40661514476572
97883260273480
102257226726778
117a0314706901
123055707b6a76
13134b178b064a
147b370d9a3a2
153dab04990a3
hex20d8d327d7a

2257226726778 has 24 divisors (see below), whose sum is σ = 4890687808500. Its totient is φ = 752404308864.

The previous prime is 2257226726771. The next prime is 2257226726779. The reversal of 2257226726778 is 8776276227522.

2257226726778 is a `hidden beast` number, since 225 + 7 + 22 + 67 + 267 + 78 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1545165844209 + 712060882569 = 1243047^2 + 843837^2 .

It is a super-2 number, since 2×22572267267782 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2257226726771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3992818 + ... + 4522946.

Almost surely, 22257226726778 is an apocalyptic number.

2257226726778 is an abundant number, since it is smaller than the sum of its proper divisors (2633461081722).

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

2257226726778 is a wasteful number, since it uses less digits than its factorization.

2257226726778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766686 (or 766683 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 63.

The spelling of 2257226726778 in words is "two trillion, two hundred fifty-seven billion, two hundred twenty-six million, seven hundred twenty-six thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 236549 473098 530129 709647 1060258 1419294 1590387 2128941 3180774 4257882 4771161 9542322 125401484821 250802969642 376204454463 752408908926 1128613363389 2257226726778