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233196096 = 263733541
BaseRepresentation
bin11011110011001…
…00101001000000
3121020210120220110
431321210221000
5434144233341
635050111320
75531064000
oct1571445100
9536716813
10233196096
1110a6a6751
126611b540
133940ac73
1422d84000
1515715216
hexde64a40

233196096 has 112 divisors (see below), whose sum is σ = 719734400. Its totient is φ = 66608640.

The previous prime is 233196083. The next prime is 233196097. The reversal of 233196096 is 690691332.

233196096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (233196097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64086 + ... + 67626.

It is an arithmetic number, because the mean of its divisors is an integer number (6426200).

Almost surely, 2233196096 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 233196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359867200).

233196096 is an abundant number, since it is smaller than the sum of its proper divisors (486538304).

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

233196096 is an equidigital number, since it uses as much as digits as its factorization.

233196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 233196096 is about 15270.7595095987. The cubic root of 233196096 is about 615.5175285472.

The spelling of 233196096 in words is "two hundred thirty-three million, one hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 3541 4116 4704 5488 7082 8232 9408 10623 10976 14164 16464 21246 21952 24787 28328 32928 42492 49574 56656 65856 74361 84984 99148 113312 148722 169968 173509 198296 226624 297444 339936 347018 396592 520527 594888 679872 694036 793184 1041054 1189776 1214563 1388072 1586368 2082108 2379552 2429126 2776144 3643689 4164216 4759104 4858252 5552288 7287378 8328432 9716504 11104576 14574756 16656864 19433008 29149512 33313728 38866016 58299024 77732032 116598048 233196096