Search a number
-
+
2122232133 = 37191529103
BaseRepresentation
bin111111001111110…
…1011000101000101
312110220100120012010
41332133223011011
513321242412013
6550330444433
7103406450460
oct17637530505
95426316163
102122232133
11999a4345a
124b2893719
1327a8a3278
14161bd62d7
15c64a97c3
hex7e7eb145

2122232133 has 16 divisors (see below), whose sum is σ = 3250814976. Its totient is φ = 1206352560.

The previous prime is 2122232107. The next prime is 2122232137. The reversal of 2122232133 is 3312322212.

It is a happy number.

It is not a de Polignac number, because 2122232133 - 28 = 2122231877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122232137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260541 + ... + 268562.

It is an arithmetic number, because the mean of its divisors is an integer number (203175936).

Almost surely, 22122232133 is an apocalyptic number.

It is an amenable number.

2122232133 is a deficient number, since it is larger than the sum of its proper divisors (1128582843).

2122232133 is a wasteful number, since it uses less digits than its factorization.

2122232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529304.

The product of its digits is 864, while the sum is 21.

The square root of 2122232133 is about 46067.6907712987. The cubic root of 2122232133 is about 1285.0823594303.

Adding to 2122232133 its reverse (3312322212), we get a palindrome (5434554345).

The spelling of 2122232133 in words is "two billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 191 573 1337 4011 529103 1587309 3703721 11111163 101058673 303176019 707410711 2122232133