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200201220 = 22345123581
BaseRepresentation
bin10111110111011…
…01010000000100
3111221201021110000
423323231100010
5402222414340
631511001300
74650453012
oct1373552004
9457637400
10200201220
11a301015a
1257069230
1332627a7b
141c8358b2
1512898d30
hexbeed404

200201220 has 60 divisors (see below), whose sum is σ = 628043724. Its totient is φ = 53386560.

The previous prime is 200201213. The next prime is 200201227. The reversal of 200201220 is 22102002.

200201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200201213) and next prime (200201227).

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 113934276 = 9288^2 + 10674^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200201227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60171 + ... + 63410.

Almost surely, 2200201220 is an apocalyptic number.

200201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201220 is an abundant number, since it is smaller than the sum of its proper divisors (427842504).

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

200201220 is a wasteful number, since it uses less digits than its factorization.

200201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123602 (or 123591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200201220 is about 14149.2480365566. The cubic root of 200201220 is about 584.9996055224. Note that the first 3 decimals are identical.

Adding to 200201220 its reverse (22102002), we get a palindrome (222303222).

The spelling of 200201220 in words is "two hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 123581 247162 370743 494324 617905 741486 1112229 1235810 1482972 1853715 2224458 2471620 3336687 3707430 4448916 5561145 6673374 7414860 10010061 11122290 13346748 16683435 20020122 22244580 33366870 40040244 50050305 66733740 100100610 200201220