Search a number
-
+
22754202642 = 23650930661
BaseRepresentation
bin10101001100010000…
…011001010000010010
32011201210001021000000
4111030100121100102
5333100033441032
614241513310430
71433604350133
oct251420312022
964653037000
1022754202642
119717177256
1244b0405416
1321b818b642
14115bdc7c8a
158d295ae7c
hex54c419412

22754202642 has 56 divisors (see below), whose sum is σ = 51275755980. Its totient is φ = 7569586080.

The previous prime is 22754202607. The next prime is 22754202649. The reversal of 22754202642 is 24620245722.

22754202642 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 4 + 2 + 0 + 2 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16985648241 + 5768554401 = 130329^2 + 75951^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22754202597 and 22754202606.

It is not an unprimeable number, because it can be changed into a prime (22754202649) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 726792 + ... + 757452.

Almost surely, 222754202642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22754202642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637877990).

22754202642 is an abundant number, since it is smaller than the sum of its proper divisors (28521553338).

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

22754202642 is an equidigital number, since it uses as much as digits as its factorization.

22754202642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31190 (or 31175 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 22754202642 in words is "twenty-two billion, seven hundred fifty-four million, two hundred two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 509 729 1018 1458 1527 3054 4581 9162 13743 27486 30661 41229 61322 82458 91983 123687 183966 247374 275949 371061 551898 742122 827847 1655694 2483541 4967082 7450623 14901246 15606449 22351869 31212898 44703738 46819347 93638694 140458041 280916082 421374123 842748246 1264122369 2528244738 3792367107 7584734214 11377101321 22754202642