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22200022224 = 2432154166821
BaseRepresentation
bin10100101011001110…
…010111010011010000
32010022011020222101100
4110223032113103100
5330431201202344
614110515304400
71414065034602
oct245316272320
963264228340
1022200022224
119462374306
1243768ab100
13212a416433
14110856b172
1589de8e569
hex52b3974d0

22200022224 has 30 divisors (see below), whose sum is σ = 62129229266. Its totient is φ = 7400007360.

The previous prime is 22200022213. The next prime is 22200022277. The reversal of 22200022224 is 42222000222.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22195040400 + 4981824 = 148980^2 + 2232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22200022197 and 22200022206.

It is a congruent number.

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, 77083267 + ... + 77083554.

Almost surely, 222200022224 is an apocalyptic number.

22200022224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22200022224 is an abundant number, since it is smaller than the sum of its proper divisors (39929207042).

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

22200022224 is a wasteful number, since it uses less digits than its factorization.

22200022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154166835 (or 154166826 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22200022224 its reverse (42222000222), we get a palindrome (64422022446).

The spelling of 22200022224 in words is "twenty-two billion, two hundred million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 154166821 308333642 462500463 616667284 925000926 1233334568 1387501389 1850001852 2466669136 2775002778 3700003704 5550005556 7400007408 11100011112 22200022224