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2198228912 = 241188114177
BaseRepresentation
bin1000001100000110…
…0100111110110000
312200012100121011122
42003001210332300
514000221311122
61002043401412
7105321431435
oct20301447660
95605317148
102198228912
11a2892aa10
12514223268
13290561489
1416bd39b8c
15ccebc142
hex83064fb0

2198228912 has 40 divisors (see below), whose sum is σ = 4651858512. Its totient is φ = 997990400.

The previous prime is 2198228897. The next prime is 2198228917.

2198228912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2198228917) 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, 147968 + ... + 162144.

Almost surely, 22198228912 is an apocalyptic number.

2198228912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2198228912 is an abundant number, since it is smaller than the sum of its proper divisors (2453629600).

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

2198228912 is a wasteful number, since it uses less digits than its factorization.

2198228912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15077 (or 15071 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 2198228912 is about 46885.2739354267. The cubic root of 2198228912 is about 1300.2423437745.

The spelling of 2198228912 in words is "two billion, one hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 881 1762 3524 7048 9691 14096 14177 19382 28354 38764 56708 77528 113416 155056 155947 226832 311894 623788 1247576 2495152 12489937 24979874 49959748 99919496 137389307 199838992 274778614 549557228 1099114456 2198228912