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2132233220 = 2251310181197
BaseRepresentation
bin111111100010111…
…0100110000000100
312111121011200002202
41333011310300010
513331322430340
6551325054032
7103560453245
oct17705646004
95447150082
102132233220
119a4654417
124b60b7318
1327c995480
1416327accc
15c72d2c15
hex7f174c04

2132233220 has 48 divisors (see below), whose sum is σ = 4869931248. Its totient is φ = 779481600.

The previous prime is 2132233199. The next prime is 2132233241. The reversal of 2132233220 is 223322312.

It is an interprime number because it is at equal distance from previous prime (2132233199) and next prime (2132233241).

It can be written as a sum of positive squares in 8 ways, for example, as 14760964 + 2117472256 = 3842^2 + 46016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2132233192 and 2132233201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14339 + ... + 66858.

It is an arithmetic number, because the mean of its divisors is an integer number (101456901).

Almost surely, 22132233220 is an apocalyptic number.

2132233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132233220 is an abundant number, since it is smaller than the sum of its proper divisors (2737698028).

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

2132233220 is a wasteful number, since it uses less digits than its factorization.

2132233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81320 (or 81318 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2132233220 is about 46176.1109232902. The cubic root of 2132233220 is about 1287.0978606465.

Adding to 2132233220 its reverse (223322312), we get a palindrome (2355555532).

The spelling of 2132233220 in words is "two billion, one hundred thirty-two million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 81197 162394 324788 405985 811970 1055561 1623940 2111122 4222244 5277805 8200897 10555610 16401794 21111220 32803588 41004485 82008970 106611661 164017940 213223322 426446644 533058305 1066116610 2132233220