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4200022224 = 243229166821
BaseRepresentation
bin1111101001010111…
…0100000011010000
3101211201002020100200
43322111310003100
532100201202344
61532433015200
7206036412516
oct37225640320
911751066320
104200022224
111865891952
129926b4500
1351c1b5b68
142bbb404b6
15198ad6069
hexfa5740d0

4200022224 has 30 divisors (see below), whose sum is σ = 11754229266. Its totient is φ = 1400007360.

The previous prime is 4200022213. The next prime is 4200022231. The reversal of 4200022224 is 4222200024.

4200022224 is a `hidden beast` number, since 420 + 0 + 0 + 22 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2825985600 + 1374036624 = 53160^2 + 37068^2 .

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 = 4200022197 and 4200022206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14583267 + ... + 14583554.

Almost surely, 24200022224 is an apocalyptic number.

It is an amenable number.

4200022224 is an abundant number, since it is smaller than the sum of its proper divisors (7554207042).

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

4200022224 is a wasteful number, since it uses less digits than its factorization.

4200022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29166835 (or 29166826 counting only the distinct ones).

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

The square root of 4200022224 is about 64807.5784457343. The cubic root of 4200022224 is about 1613.4314918003.

Adding to 4200022224 its reverse (4222200024), we get a palindrome (8422222248).

The spelling of 4200022224 in words is "four 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 29166821 58333642 87500463 116667284 175000926 233334568 262501389 350001852 466669136 525002778 700003704 1050005556 1400007408 2100011112 4200022224