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2242523136 = 2123729231
BaseRepresentation
bin1000010110101010…
…0011000000000000
312210021200222102110
42011222203000000
514043041220021
61010305015320
7106400063220
oct20552430000
95707628373
102242523136
11a50933907
12527024540
1329979c789
14173b8a080
15d1d1b476
hex85aa3000

2242523136 has 312 divisors, whose sum is σ = 7305585664. Its totient is φ = 598671360.

The previous prime is 2242523123. The next prime is 2242523141. The reversal of 2242523136 is 6313252422.

Its product of digits (17280) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72339441 + ... + 72339471.

Almost surely, 22242523136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652792832).

2242523136 is an abundant number, since it is smaller than the sum of its proper divisors (5063062528).

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

2242523136 is an equidigital number, since it uses as much as digits as its factorization.

2242523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 2242523136 is about 47355.2862519064. The cubic root of 2242523136 is about 1308.9176102806.

Adding to 2242523136 its reverse (6313252422), we get a palindrome (8555775558).

The spelling of 2242523136 in words is "two billion, two hundred forty-two million, five hundred twenty-three thousand, one hundred thirty-six".