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20322112212 = 22323726215821
BaseRepresentation
bin10010111011010010…
…101101001011010100
31221110021122021010200
4102323102231023110
5313104430042322
613200313220500
71316413050363
oct227322551324
957407567120
1020322112212
118689336766
123b31a01730
131bbb34838c
14daadb37da
157de1968ac
hex4bb4ad2d4

20322112212 has 72 divisors (see below), whose sum is σ = 52787352072. Its totient is φ = 6587308800.

The previous prime is 20322112199. The next prime is 20322112259. The reversal of 20322112212 is 21221122302.

20322112212 is a `hidden beast` number, since 20 + 322 + 112 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14473533636 + 5848578576 = 120306^2 + 76476^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3488262 + ... + 3494082.

Almost surely, 220322112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26393676036).

20322112212 is an abundant number, since it is smaller than the sum of its proper divisors (32465239860).

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

20322112212 is a wasteful number, since it uses less digits than its factorization.

20322112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8489 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20322112212 its reverse (21221122302), we get a palindrome (41543234514).

The spelling of 20322112212 in words is "twenty billion, three hundred twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2621 5242 5821 7863 10484 11642 15726 17463 23284 23589 31452 34926 47178 52389 69852 94356 96977 104778 193954 209556 215377 290931 387908 430754 581862 646131 861508 872793 1163724 1292262 1745586 1938393 2584524 3491172 3876786 7753572 15256841 30513682 45770523 61027364 91541046 137311569 183082092 274623138 549246276 564503117 1129006234 1693509351 2258012468 3387018702 5080528053 6774037404 10161056106 20322112212