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2252434340 = 225138663209
BaseRepresentation
bin1000011001000001…
…0110101110100100
312210222100112001002
42012100112232210
514103110344330
61011301252432
7106550242652
oct20620265644
95728315032
102252434340
11a56493292
1252a404118
1329b85cab0
14175209dd2
15d2b27e45
hex86416ba4

2252434340 has 24 divisors (see below), whose sum is σ = 5093967480. Its totient is φ = 831667968.

The previous prime is 2252434337. The next prime is 2252434351. The reversal of 2252434340 is 434342522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 353740864 + 1898693476 = 18808^2 + 43574^2 .

It is a super-2 number, since 2×22524343402 = 10146920912022471200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4331345 + ... + 4331864.

It is an arithmetic number, because the mean of its divisors is an integer number (212248645).

Almost surely, 22252434340 is an apocalyptic number.

2252434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252434340 is an abundant number, since it is smaller than the sum of its proper divisors (2841533140).

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

2252434340 is a wasteful number, since it uses less digits than its factorization.

2252434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663231 (or 8663229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 2252434340 is about 47459.8181623150. The cubic root of 2252434340 is about 1310.8431027464.

Adding to 2252434340 its reverse (434342522), we get a palindrome (2686776862).

The spelling of 2252434340 in words is "two billion, two hundred fifty-two million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8663209 17326418 34652836 43316045 86632090 112621717 173264180 225243434 450486868 563108585 1126217170 2252434340