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200223090 = 2345416029
BaseRepresentation
bin10111110111100…
…10100101110010
3111221202101110000
423323302211302
5402224114330
631511250430
74650603534
oct1373624562
9457671400
10200223090
11a3025631
1257079a16
1332634a02
141c83d854
15128a0560
hexbef2972

200223090 has 80 divisors (see below), whose sum is σ = 551600280. Its totient is φ = 52081920.

The previous prime is 200223077. The next prime is 200223103. The reversal of 200223090 is 90322002.

It is an interprime number because it is at equal distance from previous prime (200223077) and next prime (200223103).

It can be written as a sum of positive squares in 4 ways, for example, as 157176369 + 43046721 = 12537^2 + 6561^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30196 + ... + 36224.

Almost surely, 2200223090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200223090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275800140).

200223090 is an abundant number, since it is smaller than the sum of its proper divisors (351377190).

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

200223090 is a wasteful number, since it uses less digits than its factorization.

200223090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 200223090 is about 14150.0208480412. The cubic root of 200223090 is about 585.0209065507.

Adding to 200223090 its reverse (90322002), we get a palindrome (290545092).

The spelling of 200223090 in words is "two hundred million, two hundred twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1845 2214 3321 3690 5535 6029 6642 11070 12058 16605 18087 30145 33210 36174 54261 60290 90435 108522 162783 180870 247189 271305 325566 488349 494378 542610 741567 813915 976698 1235945 1483134 1627830 2224701 2441745 2471890 3707835 4449402 4883490 6674103 7415670 11123505 13348206 20022309 22247010 33370515 40044618 66741030 100111545 200223090