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2133606148 = 221738778093
BaseRepresentation
bin111111100101100…
…0011111100000100
312111200202102101221
41333023003330010
513332200344043
6551414330124
7103605232042
oct17713037404
95450672357
102133606148
119a5401973
124b6659944
1328005635b
14163517392
15c74a48ed
hex7f2c3f04

2133606148 has 24 divisors (see below), whose sum is σ = 3954955032. Its totient is φ = 1003666944.

The previous prime is 2133606127. The next prime is 2133606149. The reversal of 2133606148 is 8416063312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 294740224 + 1838865924 = 17168^2 + 42882^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2133606149) 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 7 ways as a sum of consecutive naturals, for example, 259590 + ... + 267682.

It is an arithmetic number, because the mean of its divisors is an integer number (164789793).

Almost surely, 22133606148 is an apocalyptic number.

It is an amenable number.

2133606148 is a deficient number, since it is larger than the sum of its proper divisors (1821348884).

2133606148 is a wasteful number, since it uses less digits than its factorization.

2133606148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2133606148 is about 46190.9747461558. The cubic root of 2133606148 is about 1287.3740520653.

The spelling of 2133606148 in words is "two billion, one hundred thirty-three million, six hundred six thousand, one hundred forty-eight".

Divisors: 1 2 4 17 34 68 3877 7754 8093 15508 16186 32372 65909 131818 137581 263636 275162 550324 31376561 62753122 125506244 533401537 1066803074 2133606148