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233412140 = 225138811019
BaseRepresentation
bin11011110100110…
…01011000101100
3121021012120021002
431322121120230
5434223142030
635054455432
75532653603
oct1572313054
9537176232
10233412140
1110a833aa5
1266204578
13394853c0
1422ddca3a
1515759245
hexde9962c

233412140 has 48 divisors (see below), whose sum is σ = 528988320. Its totient is φ = 86000640.

The previous prime is 233412133. The next prime is 233412149. The reversal of 233412140 is 41214332.

233412140 is digitally balanced in base 3, 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 (20).

It is not an unprimeable number, because it can be changed into a prime (233412149) 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, 228551 + ... + 229569.

It is an arithmetic number, because the mean of its divisors is an integer number (11020590).

Almost surely, 2233412140 is an apocalyptic number.

233412140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233412140 is an abundant number, since it is smaller than the sum of its proper divisors (295576180).

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

233412140 is a wasteful number, since it uses less digits than its factorization.

233412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233412140 is about 15277.8316524303. The cubic root of 233412140 is about 615.7075514884.

Adding to 233412140 its reverse (41214332), we get a palindrome (274626472).

The spelling of 233412140 in words is "two hundred thirty-three million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 881 1019 1762 2038 3524 4076 4405 5095 8810 10190 11453 13247 17620 20380 22906 26494 45812 52988 57265 66235 114530 132470 229060 264940 897739 1795478 3590956 4488695 8977390 11670607 17954780 23341214 46682428 58353035 116706070 233412140