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233104144 = 24713374327
BaseRepresentation
bin11011110010011…
…10001100010000
3121020121220202211
431321032030100
5434133313034
635044121504
75530231630
oct1571161420
9536556684
10233104144
1110a643659
1266096294
13393a8160
1422d5c6c0
15156e7d64
hexde4e310

233104144 has 80 divisors (see below), whose sum is σ = 571019008. Its totient is φ = 89703936.

The previous prime is 233104139. The next prime is 233104163. The reversal of 233104144 is 441401332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51709 + ... + 56035.

Almost surely, 2233104144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285509504).

233104144 is an abundant number, since it is smaller than the sum of its proper divisors (337914864).

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

233104144 is a wasteful number, since it uses less digits than its factorization.

233104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 233104144 is about 15267.7484915098. The cubic root of 233104144 is about 615.4366159455.

Adding to 233104144 its reverse (441401332), we get a palindrome (674505476).

The spelling of 233104144 in words is "two hundred thirty-three million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 481 518 592 728 962 1036 1456 1924 2072 3367 3848 4144 4327 6734 7696 8654 13468 17308 26936 30289 34616 53872 56251 60578 69232 112502 121156 160099 225004 242312 320198 393757 450008 484624 640396 787514 900016 1120693 1280792 1575028 2081287 2241386 2561584 3150056 4162574 4482772 6300112 8325148 8965544 14569009 16650296 17931088 29138018 33300592 58276036 116552072 233104144