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2122413444 = 223258955929
BaseRepresentation
bin111111010000001…
…0111010110000100
312110220200202220100
41332200113112010
513321314212234
6550334404100
7103411134204
oct17640272604
95426622810
102122413444
1199a0576a8
124b2960630
1327a937958
14161c42404
15c64e3399
hex7e817584

2122413444 has 18 divisors (see below), whose sum is σ = 5364989630. Its totient is φ = 707471136.

The previous prime is 2122413413. The next prime is 2122413457. The reversal of 2122413444 is 4443142212.

2122413444 is a `hidden beast` number, since 212 + 2 + 4 + 1 + 3 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2121707844 + 705600 = 46062^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×21224134442 = 9009277654543882272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29477929 + ... + 29478000.

Almost surely, 22122413444 is an apocalyptic number.

It is an amenable number.

2122413444 is an abundant number, since it is smaller than the sum of its proper divisors (3242576186).

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

2122413444 is a wasteful number, since it uses less digits than its factorization.

2122413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58955939 (or 58955934 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2122413444 is about 46069.6586052035. The cubic root of 2122413444 is about 1285.1189550079.

Adding to 2122413444 its reverse (4443142212), we get a palindrome (6565555656).

The spelling of 2122413444 in words is "two billion, one hundred twenty-two million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 58955929 117911858 176867787 235823716 353735574 530603361 707471148 1061206722 2122413444