Search a number
-
+
200302300 = 225211211863
BaseRepresentation
bin10111111000001…
…01111011011100
3111221220102002201
423330011323130
5402234133200
631513101244
74651353502
oct1374057334
9457812081
10200302300
11a307a0a0
12570b7824
1332661a93
141c860672
15128b8c6a
hexbf05edc

200302300 has 72 divisors (see below), whose sum is σ = 476969472. Its totient is φ = 72408000.

The previous prime is 200302283. The next prime is 200302309. The reversal of 200302300 is 3203002.

It is a super-2 number, since 2×2003023002 = 80242022770580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200302309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 231669 + ... + 232531.

It is an arithmetic number, because the mean of its divisors is an integer number (6624576).

Almost surely, 2200302300 is an apocalyptic number.

200302300 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 200302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238484736).

200302300 is an abundant number, since it is smaller than the sum of its proper divisors (276667172).

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

200302300 is a wasteful number, since it uses less digits than its factorization.

200302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 200302300 is about 14152.8195070806. The cubic root of 200302300 is about 585.0980428366.

Adding to 200302300 its reverse (3203002), we get a palindrome (203505302).

It can be divided in two parts, 200 and 302300, that added together give a square (302500 = 5502).

The spelling of 200302300 in words is "two hundred million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 863 1055 1100 1726 2110 2321 3452 4220 4315 4642 5275 8630 9284 9493 10550 11605 17260 18986 21100 21575 23210 37972 43150 46420 47465 58025 86300 94930 116050 182093 189860 232100 237325 364186 474650 728372 910465 949300 1820930 2003023 3641860 4006046 4552325 8012092 9104650 10015115 18209300 20030230 40060460 50075575 100151150 200302300