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2122221132 = 22322312132113
BaseRepresentation
bin111111001111110…
…1000011001001100
312110220100000002200
41332133220121030
513321242034012
6550330321500
7103406403423
oct17637503114
95426300080
102122221132
11999a36169
124b2889290
1327a89b265
14161bd22ba
15c64a63dc
hex7e7e864c

2122221132 has 72 divisors (see below), whose sum is σ = 5605008864. Its totient is φ = 675772416.

The previous prime is 2122221083. The next prime is 2122221133. The reversal of 2122221132 is 2311222212.

It is a super-2 number, since 2×21222211322 = 9007645066214722848, which contains 22 as substring.

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 (2122221133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003308 + ... + 1005420.

Almost surely, 22122221132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802504432).

2122221132 is an abundant number, since it is smaller than the sum of its proper divisors (3482787732).

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

2122221132 is a wasteful number, since it uses less digits than its factorization.

2122221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3354 counting only the distinct ones).

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

The square root of 2122221132 is about 46067.5713707593. The cubic root of 2122221132 is about 1285.0801389356.

Adding to 2122221132 its reverse (2311222212), we get a palindrome (4433443344).

The spelling of 2122221132 in words is "two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1213 2113 2426 3639 4226 4852 6339 7278 8452 10917 12678 14556 19017 21834 25356 27899 38034 43668 48599 55798 76068 83697 97198 111596 145797 167394 194396 251091 291594 334788 437391 502182 583188 874782 1004364 1749564 2563069 5126138 7689207 10252276 15378414 23067621 30756828 46135242 58950587 92270484 117901174 176851761 235802348 353703522 530555283 707407044 1061110566 2122221132