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233433340 = 225710715583
BaseRepresentation
bin11011110100111…
…10100011111100
3121021020122100021
431322132203330
5434224331330
635055141524
75533102450
oct1572364374
9537218307
10233433340
1110a848a18
12662148a4
1339491c4a
1423006660
151576067a
hexde9e8fc

233433340 has 48 divisors (see below), whose sum is σ = 565512192. Its totient is φ = 79281216.

The previous prime is 233433337. The next prime is 233433353. The reversal of 233433340 is 43334332.

233433340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2334333402 = 108982248447111200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7189 + ... + 22771.

It is an arithmetic number, because the mean of its divisors is an integer number (11781504).

Almost surely, 2233433340 is an apocalyptic number.

233433340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282756096).

233433340 is an abundant number, since it is smaller than the sum of its proper divisors (332078852).

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

233433340 is a wasteful number, since it uses less digits than its factorization.

233433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15706 (or 15704 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

The square root of 233433340 is about 15278.5254524120. The cubic root of 233433340 is about 615.7261917712.

Adding to 233433340 its reverse (43334332), we get a palindrome (276767672).

The spelling of 233433340 in words is "two hundred thirty-three million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 14980 15583 31166 62332 77915 109081 155830 218162 311660 436324 545405 1090810 1667381 2181620 3334762 6669524 8336905 11671667 16673810 23343334 33347620 46686668 58358335 116716670 233433340