Search a number
-
+
2112148836 = 223278381543
BaseRepresentation
bin111110111100100…
…1101010101100100
312110012101021111200
41331321031111210
513311202230321
6545330402500
7103224653220
oct17571152544
95405337450
102112148836
11994286756
124ab430430
13278782815
1416072d780
15c5666d26
hex7de4d564

2112148836 has 36 divisors (see below), whose sum is σ = 6101764032. Its totient is φ = 603471024.

The previous prime is 2112148817. The next prime is 2112148837. The reversal of 2112148836 is 6388412112.

2112148836 is a `hidden beast` number, since 21 + 121 + 488 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21121488362 = 8922345410832309792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2112148836.

It is not an unprimeable number, because it can be changed into a prime (2112148837) 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, 4190520 + ... + 4191023.

Almost surely, 22112148836 is an apocalyptic number.

It is an amenable number.

2112148836 is an abundant number, since it is smaller than the sum of its proper divisors (3989615196).

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

2112148836 is a wasteful number, since it uses less digits than its factorization.

2112148836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381560 (or 8381555 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2112148836 is about 45958.1204576514. The cubic root of 2112148836 is about 1283.0438699633.

The spelling of 2112148836 in words is "two billion, one hundred twelve million, one hundred forty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8381543 16763086 25144629 33526172 50289258 58670801 75433887 100578516 117341602 150867774 176012403 234683204 301735548 352024806 528037209 704049612 1056074418 2112148836