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2122213140 = 2232511790073
BaseRepresentation
bin111111001111110…
…0110011100010100
312110220022121010200
41332133212130110
513321241310030
6550330220500
7103406341215
oct17637463424
95426277120
102122213140
11999a30163
124b2884730
1327a897728
14161bcd40c
15c64a3d60
hex7e7e6714

2122213140 has 36 divisors (see below), whose sum is σ = 6437380404. Its totient is φ = 565923456.

The previous prime is 2122213129. The next prime is 2122213147. The reversal of 2122213140 is 413122212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1643653764 + 478559376 = 40542^2 + 21876^2 .

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

It is a super-2 number, since 2×21222131402 = 9007577223177319200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122213147) 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 11 ways as a sum of consecutive naturals, for example, 5894857 + ... + 5895216.

Almost surely, 22122213140 is an apocalyptic number.

2122213140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122213140 is an abundant number, since it is smaller than the sum of its proper divisors (4315167264).

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

2122213140 is a wasteful number, since it uses less digits than its factorization.

2122213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790088 (or 11790083 counting only the distinct ones).

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

The square root of 2122213140 is about 46067.4846285317. The cubic root of 2122213140 is about 1285.0785257871.

Adding to 2122213140 its reverse (413122212), we get a palindrome (2535335352).

The spelling of 2122213140 in words is "two billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11790073 23580146 35370219 47160292 58950365 70740438 106110657 117900730 141480876 176851095 212221314 235801460 353702190 424442628 530553285 707404380 1061106570 2122213140