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233894936 = 23112475397
BaseRepresentation
bin11011111000011…
…11010000011000
3121022010002112102
431330033100120
5434334114221
635113102532
75540034302
oct1574172030
9538102472
10233894936
11110033800
12663b7a48
13395c4092
14230c6972
151580230b
hexdf0f418

233894936 has 96 divisors (see below), whose sum is σ = 506761920. Its totient is φ = 101038080.

The previous prime is 233894911. The next prime is 233895001. The reversal of 233894936 is 639498332.

233894936 is digitally balanced in base 2 and base 3, because in such bases 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 (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2411240 + ... + 2411336.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2233894936 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 233894936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

233894936 is an abundant number, since it is smaller than the sum of its proper divisors (272866984).

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

233894936 is a wasteful number, since it uses less digits than its factorization.

233894936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its digits is 839808, while the sum is 47.

The square root of 233894936 is about 15293.6240309483. The cubic root of 233894936 is about 616.1317745299.

The spelling of 233894936 in words is "two hundred thirty-three million, eight hundred ninety-four thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 47 53 88 94 97 106 121 188 194 212 242 376 388 424 484 517 583 776 968 1034 1067 1166 2068 2134 2332 2491 4136 4268 4559 4664 4982 5141 5687 6413 8536 9118 9964 10282 11374 11737 12826 18236 19928 20564 22748 23474 25652 27401 36472 41128 45496 46948 50149 51304 54802 56551 93896 100298 109604 113102 200596 219208 226204 241627 301411 401192 452408 483254 551639 602822 622061 966508 1103278 1205644 1244122 1933016 2206556 2411288 2488244 2657897 4413112 4976488 5315794 10631588 21263176 29236867 58473734 116947468 233894936