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233031104 = 2617243293
BaseRepresentation
bin11011110001111…
…00010111000000
3121020111012120122
431320330113000
5434123443404
635042355412
75526505655
oct1570742700
9536435518
10233031104
1110a5a3799
126605bb68
1339380b37
1422d3dc2c
15156d13be
hexde3c5c0

233031104 has 84 divisors (see below), whose sum is σ = 504361704. Its totient is φ = 106745856.

The previous prime is 233031091. The next prime is 233031107. The reversal of 233031104 is 401130332.

It is a happy number.

233031104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233031107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795182 + ... + 795474.

It is an arithmetic number, because the mean of its divisors is an integer number (6004306).

Almost surely, 2233031104 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 233031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252180852).

233031104 is an abundant number, since it is smaller than the sum of its proper divisors (271330600).

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

233031104 is a wasteful number, since it uses less digits than its factorization.

233031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 233031104 is about 15265.3563338692. The cubic root of 233031104 is about 615.3723296778.

Adding to 233031104 its reverse (401130332), we get a palindrome (634161436).

The spelling of 233031104 in words is "two hundred thirty-three million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 289 293 344 544 578 586 688 731 1088 1156 1172 1376 1462 2312 2344 2752 2924 4624 4688 4981 5848 9248 9376 9962 11696 12427 12599 18496 18752 19924 23392 24854 25198 39848 46784 49708 50396 79696 84677 99416 100792 159392 169354 198832 201584 214183 318784 338708 397664 403168 428366 677416 795328 806336 856732 1354832 1713464 2709664 3426928 3641111 5419328 6853856 7282222 13707712 14564444 29128888 58257776 116515552 233031104