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2122204000 = 2553775793
BaseRepresentation
bin111111001111110…
…0100001101100000
312110220022010121011
41332133210031200
513321241012000
6550330110304
7103406302450
oct17637441540
95426263534
102122204000
11999a24304
124b287b394
1327a893517
14161bc9d60
15c64a12ba
hex7e7e4360

2122204000 has 96 divisors (see below), whose sum is σ = 5959227456. Its totient is φ = 727603200.

The previous prime is 2122203991. The next prime is 2122204001. The reversal of 2122204000 is 4022212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122204001) 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 15 ways as a sum of consecutive naturals, for example, 9897 + ... + 65896.

It is an arithmetic number, because the mean of its divisors is an integer number (62075286).

Almost surely, 22122204000 is an apocalyptic number.

2122204000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979613728).

2122204000 is an abundant number, since it is smaller than the sum of its proper divisors (3837023456).

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

2122204000 is an equidigital number, since it uses as much as digits as its factorization.

2122204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75825 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2122204000 is about 46067.3854261342. The cubic root of 2122204000 is about 1285.0766809151.

Adding to 2122204000 its reverse (4022212), we get a palindrome (2126226212).

The spelling of 2122204000 in words is "two billion, one hundred twenty-two million, two hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 75793 151586 303172 378965 530551 606344 757930 1061102 1212688 1515860 1894825 2122204 2425376 2652755 3031720 3789650 4244408 5305510 6063440 7579300 8488816 9474125 10611020 12126880 13263775 15158600 16977632 18948250 21222040 26527550 30317200 37896500 42444080 53055100 60634400 66318875 75793000 84888160 106110200 132637750 151586000 212220400 265275500 303172000 424440800 530551000 1061102000 2122204000