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222021020220 = 223543128367073
BaseRepresentation
bin1100111011000101111…
…0111110101000111100
3210020002000201102021220
43032301132332220330
512114144340121340
6245554532553340
722016613351066
oct3166136765074
9706060642256
10222021020220
118618209466a
1237042482850
1317c23620a5c
14aa62974736
155b96855ed0
hex33b17bea3c

222021020220 has 96 divisors (see below), whose sum is σ = 636621334272. Its totient is φ = 57782796288.

The previous prime is 222021020213. The next prime is 222021020239. The reversal of 222021020220 is 22020120222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222021020220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3276604 + ... + 3343676.

It is an arithmetic number, because the mean of its divisors is an integer number (6631472232).

Almost surely, 2222021020220 is an apocalyptic number.

222021020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222021020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318310667136).

222021020220 is an abundant number, since it is smaller than the sum of its proper divisors (414600314052).

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

222021020220 is a wasteful number, since it uses less digits than its factorization.

222021020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68411 (or 68409 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 222021020220 its reverse (22020120222), we get a palindrome (244041140442).

The spelling of 222021020220 in words is "two hundred twenty-two billion, twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1283 1290 2566 2580 3849 5132 6415 7698 12830 15396 19245 25660 38490 55169 67073 76980 110338 134146 165507 201219 220676 268292 275845 331014 335365 402438 551690 662028 670730 804876 827535 1006095 1103380 1341460 1655070 2012190 2884139 3310140 4024380 5768278 8652417 11536556 14420695 17304834 28841390 34609668 43262085 57682780 86054659 86524170 172109318 173048340 258163977 344218636 430273295 516327954 860546590 1032655908 1290819885 1721093180 2581639770 3700350337 5163279540 7400700674 11101051011 14801401348 18501751685 22202102022 37003503370 44404204044 55505255055 74007006740 111010510110 222021020220