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2222422400 = 275211193323
BaseRepresentation
bin1000010001110111…
…0111100110000000
312201212212202101202
42010131313212000
514022420004100
61004310120332
7106034164412
oct20435674600
95655782352
102222422400
11a40554930
125203500a8
13295582553
141712369b2
15d019a7d5
hex84777980

2222422400 has 192 divisors, whose sum is σ = 6306292800. Its totient is φ = 765388800.

The previous prime is 2222422399. The next prime is 2222422409. The reversal of 2222422400 is 42242222.

It is a super-2 number, since 2×22224224002 = 9878322648043520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222422409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667139 + ... + 670461.

It is an arithmetic number, because the mean of its divisors is an integer number (32845275).

Almost surely, 22222422400 is an apocalyptic number.

2222422400 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 2222422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153146400).

2222422400 is an abundant number, since it is smaller than the sum of its proper divisors (4083870400).

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

2222422400 is a wasteful number, since it uses less digits than its factorization.

2222422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2222422400 is about 47142.5752372524. The cubic root of 2222422400 is about 1304.9950626884.

Adding to 2222422400 its reverse (42242222), we get a palindrome (2264664622).

It can be divided in two parts, 22 and 22422400, that added together give a palindrome (22422422).

The spelling of 2222422400 in words is "two billion, two hundred twenty-two million, four hundred twenty-two thousand, four hundred".