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200304144 = 24333114957
BaseRepresentation
bin10111111000001…
…10011000010000
3111221220111122000
423330012120100
5402234213034
631513114000
74651362045
oct1374063020
9457814560
10200304144
11a3080517
12570b8900
1332662881
141c8611cc
15128b9599
hexbf06610

200304144 has 80 divisors (see below), whose sum is σ = 593533440. Its totient is φ = 64609920.

The previous prime is 200304103. The next prime is 200304173. The reversal of 200304144 is 441403002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5914 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (7419168).

Almost surely, 2200304144 is an apocalyptic number.

200304144 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 200304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296766720).

200304144 is an abundant number, since it is smaller than the sum of its proper divisors (393229296).

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

200304144 is a wasteful number, since it uses less digits than its factorization.

200304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200304144 is about 14152.8846529603. The cubic root of 200304144 is about 585.0998383186.

Adding to 200304144 its reverse (441403002), we get a palindrome (641707146).

The spelling of 200304144 in words is "two hundred million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 14957 29914 44871 59828 89742 119656 134613 179484 239312 269226 358968 403839 463667 538452 717936 807678 927334 1076904 1391001 1615356 1854668 2153808 2782002 3230712 3709336 4173003 5564004 6461424 7418672 8346006 11128008 12519009 16692012 22256016 25038018 33384024 50076036 66768048 100152072 200304144