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200331144 = 2335137927
BaseRepresentation
bin10111111000011…
…00111110001000
3111221221212200000
423330030332020
5402241044034
631513443000
74651533546
oct1374147610
9457855600
10200331144
11a3099832
1257110460
1332671c50
141c86ad96
15128c2599
hexbf0cf88

200331144 has 96 divisors (see below), whose sum is σ = 606016320. Its totient is φ = 61632576.

The previous prime is 200331143. The next prime is 200331191. The reversal of 200331144 is 441133002.

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

It is not an unprimeable number, because it can be changed into a prime (200331143) 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, 21309 + ... + 29235.

It is an arithmetic number, because the mean of its divisors is an integer number (6312670).

Almost surely, 2200331144 is an apocalyptic number.

200331144 is a gapful number since it is divisible by the number (24) 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 200331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303008160).

200331144 is an abundant number, since it is smaller than the sum of its proper divisors (405685176).

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

200331144 is a wasteful number, since it uses less digits than its factorization.

200331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 200331144 is about 14153.8384899645. The cubic root of 200331144 is about 585.1261266512.

Adding to 200331144 its reverse (441133002), we get a palindrome (641464146).

The spelling of 200331144 in words is "two hundred million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 7927 8424 12636 15854 23781 25272 31708 47562 63416 71343 95124 103051 142686 190248 206102 214029 285372 309153 412204 428058 570744 618306 642087 824408 856116 927459 1236612 1284174 1712232 1854918 1926261 2473224 2568348 2782377 3709836 3852522 5136696 5564754 7419672 7705044 8347131 11129508 15410088 16694262 22259016 25041393 33388524 50082786 66777048 100165572 200331144