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200601144 = 23334871907
BaseRepresentation
bin10111111010011…
…10111000111000
3111222110121001000
423331032320320
5402323214034
631523325000
74654036662
oct1375167070
9458417030
10200601144
11a3263677
1257220760
1332737b03
141c8db532
1512927599
hexbf4ee38

200601144 has 64 divisors (see below), whose sum is σ = 558662400. Its totient is φ = 66694752.

The previous prime is 200601119. The next prime is 200601157. The reversal of 200601144 is 441106002.

200601144 is a `hidden beast` number, since 20 + 0 + 601 + 1 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104239 + ... + 106145.

It is an arithmetic number, because the mean of its divisors is an integer number (8729100).

Almost surely, 2200601144 is an apocalyptic number.

200601144 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 200601144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279331200).

200601144 is an abundant number, since it is smaller than the sum of its proper divisors (358061256).

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

200601144 is a wasteful number, since it uses less digits than its factorization.

200601144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 200601144 is about 14163.3733270009. The cubic root of 200601144 is about 585.3888801582.

Adding to 200601144 its reverse (441106002), we get a palindrome (641707146).

The spelling of 200601144 in words is "two hundred million, six hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 487 974 1461 1907 1948 2922 3814 3896 4383 5721 5844 7628 8766 11442 11688 13149 15256 17163 17532 22884 26298 34326 35064 45768 51489 52596 68652 102978 105192 137304 205956 411912 928709 1857418 2786127 3714836 5572254 7429672 8358381 11144508 16716762 22289016 25075143 33433524 50150286 66867048 100300572 200601144