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2222404000 = 25531015501
BaseRepresentation
bin1000010001110111…
…0011000110100000
312201212211211011021
42010131303012200
514022413412000
61004305455224
7106034056645
oct20435630640
95655754137
102222404000
11a40542023
12520341514
1329557706b
1417122ddcc
15d019511a
hex847731a0

2222404000 has 96 divisors (see below), whose sum is σ = 5515512912. Its totient is φ = 880000000.

The previous prime is 2222403983. The next prime is 2222404031. The reversal of 2222404000 is 4042222.

It can be written as a sum of positive squares in 8 ways, for example, as 1139467536 + 1082936464 = 33756^2 + 32908^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401250 + ... + 406750.

Almost surely, 22222404000 is an apocalyptic number.

2222404000 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 2222404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757756456).

2222404000 is an abundant number, since it is smaller than the sum of its proper divisors (3293108912).

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

2222404000 is a wasteful number, since it uses less digits than its factorization.

2222404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2222404000 is about 47142.3800841663. The cubic root of 2222404000 is about 1304.9914612165.

Adding to 2222404000 its reverse (4042222), we get a palindrome (2226446222).

The spelling of 2222404000 in words is "two billion, two hundred twenty-two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 5501 8080 10100 11002 12625 16160 20200 22004 25250 27505 40400 44008 50500 55010 80800 88016 101000 110020 137525 176032 202000 220040 275050 404000 440080 550100 555601 687625 880160 1100200 1111202 1375250 2200400 2222404 2750500 2778005 4400800 4444808 5501000 5556010 8889616 11002000 11112020 13890025 17779232 22004000 22224040 27780050 44448080 55560100 69450125 88896160 111120200 138900250 222240400 277800500 444480800 555601000 1111202000 2222404000