Search a number
-
+
2192937640 = 235247722133
BaseRepresentation
bin1000001010110101…
…1001001010101000
312122211101202220121
42002231121022220
513442343001030
61001334133024
7105225443125
oct20255311250
95584352817
102192937640
11a25946563
125124b1174
1328c42ac4a
1416b35d74c
15cc7c447a
hex82b592a8

2192937640 has 32 divisors (see below), whose sum is σ = 4936324680. Its totient is φ = 876781312.

The previous prime is 2192937629. The next prime is 2192937641. The reversal of 2192937640 is 467392912.

It can be written as a sum of positive squares in 4 ways, for example, as 1742394564 + 450543076 = 41742^2 + 21226^2 .

It is not an unprimeable number, because it can be changed into a prime (2192937641) by changing a digit.

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, 88014 + ... + 110146.

Almost surely, 22192937640 is an apocalyptic number.

2192937640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2192937640 is an abundant number, since it is smaller than the sum of its proper divisors (2743387040).

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

2192937640 is a wasteful number, since it uses less digits than its factorization.

2192937640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24621 (or 24617 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 2192937640 is about 46828.8120712025. The cubic root of 2192937640 is about 1299.1982512014.

The spelling of 2192937640 in words is "two billion, one hundred ninety-two million, nine hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2477 4954 9908 12385 19816 22133 24770 44266 49540 88532 99080 110665 177064 221330 442660 885320 54823441 109646882 219293764 274117205 438587528 548234410 1096468820 2192937640