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2122022032 = 241319135333
BaseRepresentation
bin111111001111011…
…0111110010010000
312110212221212222121
41332132313302100
513321214201112
6550322144024
7103404614104
oct17636676220
95425855877
102122022032
1199990a619
124b27b2014
1327a82b750
14161b7d904
15c6467407
hex7e7b7c90

2122022032 has 40 divisors (see below), whose sum is σ = 4430825784. Its totient is φ = 978699264.

The previous prime is 2122022027. The next prime is 2122022041. The reversal of 2122022032 is 2302202212.

It can be written as a sum of positive squares in 4 ways, for example, as 1031437456 + 1090584576 = 32116^2 + 33024^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2122021997 and 2122022015.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 395238 + ... + 400570.

Almost surely, 22122022032 is an apocalyptic number.

It is an amenable number.

2122022032 is an abundant number, since it is smaller than the sum of its proper divisors (2308803752).

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

2122022032 is a wasteful number, since it uses less digits than its factorization.

2122022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2122022032 is about 46065.4103639596. The cubic root of 2122022032 is about 1285.0399503091.

Adding to 2122022032 its reverse (2302202212), we get a palindrome (4424224244).

The spelling of 2122022032 in words is "two billion, one hundred twenty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1913 3826 5333 7652 10666 15304 21332 24869 30608 42664 49738 69329 85328 99476 138658 198952 277316 397904 554632 1109264 10202029 20404058 40808116 81616232 132626377 163232464 265252754 530505508 1061011016 2122022032