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22224223400 = 2352111121117
BaseRepresentation
bin10100101100101010…
…101011110010101000
32010100211210112011012
4110230222223302220
5331003400122100
614113142123052
71414510532141
oct245452536250
963324715135
1022224223400
119474aa3a85
124382a20488
13213243ab62
14110b86aac8
158a1170135
hex52caabca8

22224223400 has 24 divisors (see below), whose sum is σ = 51671319870. Its totient is φ = 8889689280.

The previous prime is 22224223397. The next prime is 22224223451. The reversal of 22224223400 is 432242222.

It can be written as a sum of positive squares in 3 ways, for example, as 20128231876 + 2095991524 = 141874^2 + 45782^2 .

It is a super-2 number, since 2×222242234002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 55560359 + ... + 55560758.

Almost surely, 222224223400 is an apocalyptic number.

22224223400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224223400 is an abundant number, since it is smaller than the sum of its proper divisors (29447096470).

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

22224223400 is a wasteful number, since it uses less digits than its factorization.

22224223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111121133 (or 111121124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 22224223400 its reverse (432242222), we get a palindrome (22656465622).

The spelling of 22224223400 in words is "twenty-two billion, two hundred twenty-four million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 111121117 222242234 444484468 555605585 888968936 1111211170 2222422340 2778027925 4444844680 5556055850 11112111700 22224223400