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200323002 = 231121716231
BaseRepresentation
bin10111111000010…
…10111110111010
3111221221110111110
423330022332322
5402240314002
631513341150
74651501035
oct1374127672
9457843443
10200323002
11a3093700
12571077b6
133266b329
141c86801c
15128bee6c
hexbf0afba

200323002 has 48 divisors (see below), whose sum is σ = 466312896. Its totient is φ = 57129600.

The previous prime is 200323001. The next prime is 200323003.

200323002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (200323001) and next prime (200323003).

It is not an unprimeable number, because it can be changed into a prime (200323001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4227 + ... + 20457.

It is an arithmetic number, because the mean of its divisors is an integer number (9714852).

Almost surely, 2200323002 is an apocalyptic number.

200323002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200323002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233156448).

200323002 is an abundant number, since it is smaller than the sum of its proper divisors (265989894).

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

200323002 is a wasteful number, since it uses less digits than its factorization.

200323002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16275 (or 16264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 200323002 is about 14153.5508618862. The cubic root of 200323002 is about 585.1181995072.

The spelling of 200323002 in words is "two hundred million, three hundred twenty-three thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 12342 16231 32462 48693 97386 178541 275927 357082 535623 551854 827781 1071246 1655562 1963951 3035197 3927902 5891853 6070394 9105591 11783706 18211182 33387167 66774334 100161501 200323002