Search a number
-
+
8212388112 = 243257030473
BaseRepresentation
bin1111010010111111…
…10001100100010000
3210012100001112121200
413221133301210100
5113304332404422
63434523551200
7410340101325
oct75137614420
923170045550
108212388112
113534751815
12171238b500
13a0b546c66
1457c992b4c
15330ea02ac
hex1e97f1910

8212388112 has 30 divisors (see below), whose sum is σ = 22983281022. Its totient is φ = 2737462656.

The previous prime is 8212388089. The next prime is 8212388117. The reversal of 8212388112 is 2118832128.

It can be written as a sum of positive squares in only one way, i.e., 7891834896 + 320553216 = 88836^2 + 17904^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8212388117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28515093 + ... + 28515380.

Almost surely, 28212388112 is an apocalyptic number.

It is an amenable number.

8212388112 is an abundant number, since it is smaller than the sum of its proper divisors (14770892910).

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

8212388112 is a wasteful number, since it uses less digits than its factorization.

8212388112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57030487 (or 57030478 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 8212388112 is about 90622.2274720722. The cubic root of 8212388112 is about 2017.5446518865.

The spelling of 8212388112 in words is "eight billion, two hundred twelve million, three hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 57030473 114060946 171091419 228121892 342182838 456243784 513274257 684365676 912487568 1026548514 1368731352 2053097028 2737462704 4106194056 8212388112