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202112112220 = 225232915150833
BaseRepresentation
bin1011110000111011010…
…0100001011001011100
3201022200112121002202221
42330032310201121130
511302411200042340
6232503215555124
720413345415404
oct2741664413134
9638615532687
10202112112220
1178796022397
1233206b2baa4
131609ca8b115
149ad4801804
1553cdad044a
hex2f0ed2165c

202112112220 has 48 divisors (see below), whose sum is σ = 458161220160. Its totient is φ = 74663300096.

The previous prime is 202112112179. The next prime is 202112112227. The reversal of 202112112220 is 22211211202.

It is a happy number.

202112112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202112112194 and 202112112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7562077 + ... + 7588756.

It is an arithmetic number, because the mean of its divisors is an integer number (9545025420).

Almost surely, 2202112112220 is an apocalyptic number.

202112112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112112220 is an abundant number, since it is smaller than the sum of its proper divisors (256049107940).

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

202112112220 is a wasteful number, since it uses less digits than its factorization.

202112112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15150894 (or 15150892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202112112220 its reverse (22211211202), we get a palindrome (224323323422).

The spelling of 202112112220 in words is "two hundred two billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 15150833 30301666 60603332 75754165 151508330 303016660 348469159 439374157 696938318 878748314 1393876636 1742345795 1757496628 2196870785 3484691590 4393741570 6969383180 8787483140 10105605611 20211211222 40422422444 50528028055 101056056110 202112112220