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2132122212 = 2232115384147
BaseRepresentation
bin111111100010101…
…1001101001100100
312111120222000211100
41333011121221210
513331310402322
6551322440100
7103556511513
oct17705315144
95446860740
102132122212
119a4588a80
124b6063030
1327c956a9c
1416324c67a
15c72aedac
hex7f159a64

2132122212 has 36 divisors (see below), whose sum is σ = 5879489616. Its totient is φ = 646097520.

The previous prime is 2132122211. The next prime is 2132122217. The reversal of 2132122212 is 2122212312.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (2132122211) 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 11 ways as a sum of consecutive naturals, for example, 2691678 + ... + 2692469.

It is an arithmetic number, because the mean of its divisors is an integer number (163319156).

Almost surely, 22132122212 is an apocalyptic number.

2132122212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2132122212 is an abundant number, since it is smaller than the sum of its proper divisors (3747367404).

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

2132122212 is a wasteful number, since it uses less digits than its factorization.

2132122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384168 (or 5384163 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2132122212 is about 46174.9089008305. The cubic root of 2132122212 is about 1287.0755240281.

Adding to 2132122212 its reverse (2122212312), we get a palindrome (4254334524).

The spelling of 2132122212 in words is "two billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5384147 10768294 16152441 21536588 32304882 48457323 59225617 64609764 96914646 118451234 177676851 193829292 236902468 355353702 533030553 710707404 1066061106 2132122212