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220022000224 = 2513528899039
BaseRepresentation
bin1100110011101001010…
…1010100101001100000
3210000220201012200101021
43030322111110221200
512101101113001344
6245024323015224
721616231100335
oct3147225245140
9700821180337
10220022000224
1185346757324
1236784b0a514
131799542a7a0
14a91329298c
155acb0d8b84
hex333a554a60

220022000224 has 24 divisors (see below), whose sum is σ = 466488953280. Its totient is φ = 101548615296.

The previous prime is 220022000221. The next prime is 220022000281. The reversal of 220022000224 is 422000220022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220022000198 and 220022000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022000221) 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 3 ways as a sum of consecutive naturals, for example, 264449104 + ... + 264449935.

It is an arithmetic number, because the mean of its divisors is an integer number (19437039720).

Almost surely, 2220022000224 is an apocalyptic number.

It is an amenable number.

220022000224 is an abundant number, since it is smaller than the sum of its proper divisors (246466953056).

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

220022000224 is a wasteful number, since it uses less digits than its factorization.

220022000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528899062 (or 528899054 counting only the distinct ones).

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

Adding to 220022000224 its reverse (422000220022), we get a palindrome (642022220246).

The spelling of 220022000224 in words is "two hundred twenty billion, twenty-two million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 528899039 1057798078 2115596156 4231192312 6875687507 8462384624 13751375014 16924769248 27502750028 55005500056 110011000112 220022000224