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20202022224 = 2432294837649
BaseRepresentation
bin10010110100001000…
…100110010101010000
31221010220200001122100
4102310020212111100
5312333204202344
613140343240400
71313424232656
oct226410462520
957126601570
1020202022224
11862757333a
123ab9749100
131b9c4bc507
14d99072dd6
157d3874569
hex4b4226550

20202022224 has 60 divisors (see below), whose sum is σ = 58487188500. Its totient is φ = 6501798912.

The previous prime is 20202022189. The next prime is 20202022241. The reversal of 20202022224 is 42222020202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9075991824 + 11126030400 = 95268^2 + 105480^2 .

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 = 20202022197 and 20202022206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2414649 + ... + 2423000.

It is an arithmetic number, because the mean of its divisors is an integer number (974786475).

Almost surely, 220202022224 is an apocalyptic number.

20202022224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20202022224 is an abundant number, since it is smaller than the sum of its proper divisors (38285166276).

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

20202022224 is a wasteful number, since it uses less digits than its factorization.

20202022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837692 (or 4837683 counting only the distinct ones).

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

Adding to 20202022224 its reverse (42222020202), we get a palindrome (62424042426).

The spelling of 20202022224 in words is "twenty billion, two hundred two million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 4837649 9675298 14512947 19350596 29025894 38701192 43538841 58051788 77402384 87077682 116103576 140291821 174155364 232207152 280583642 348310728 420875463 561167284 696621456 841750926 1122334568 1262626389 1683501852 2244669136 2525252778 3367003704 5050505556 6734007408 10101011112 20202022224