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223212221000 = 2353223212221
BaseRepresentation
bin1100111111100001111…
…1000011001001001000
3210100011001011200120022
43033320133003021020
512124114312033000
6250313044320012
722061256400466
oct3177037031110
9710131150508
10223212221000
118673353041a
12373153a3008
13180833540a2
14ab36c53836
155c16204585
hex33f87c3248

223212221000 has 32 divisors (see below), whose sum is σ = 522316599480. Its totient is φ = 89284888000.

The previous prime is 223212220993. The next prime is 223212221009. The reversal of 223212221000 is 122212322.

223212221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11893647364 + 211318573636 = 109058^2 + 459694^2 .

It is a super-3 number, since 3×2232122210003 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223212221000.

It is not an unprimeable number, because it can be changed into a prime (223212221009) 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 7 ways as a sum of consecutive naturals, for example, 111605111 + ... + 111607110.

Almost surely, 2223212221000 is an apocalyptic number.

223212221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223212221000 is an abundant number, since it is smaller than the sum of its proper divisors (299104378480).

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

223212221000 is a wasteful number, since it uses less digits than its factorization.

223212221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223212242 (or 223212228 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 223212221000 its reverse (122212322), we get a palindrome (223334433322).

The spelling of 223212221000 in words is "two hundred twenty-three billion, two hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 223212221 446424442 892848884 1116061105 1785697768 2232122210 4464244420 5580305525 8928488840 11160611050 22321222100 27901527625 44642444200 55803055250 111606110500 223212221000