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233142021 = 3274917537
BaseRepresentation
bin11011110010101…
…11011100000101
3121020200211201200
431321113130011
5434141021041
635045013113
75530450230
oct1571273405
9536624650
10233142021
1110a66a062
12660b4199
13393bc478
1422d6c417
15157041b6
hexde57705

233142021 has 24 divisors (see below), whose sum is σ = 385704384. Its totient is φ = 132935040.

The previous prime is 233142011. The next prime is 233142067. The reversal of 233142021 is 120241332.

It is not a de Polignac number, because 233142021 - 214 = 233125637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233141985 and 233142003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233142011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27165 + ... + 34701.

It is an arithmetic number, because the mean of its divisors is an integer number (16071016).

Almost surely, 2233142021 is an apocalyptic number.

233142021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233142021 is a deficient number, since it is larger than the sum of its proper divisors (152562363).

233142021 is a wasteful number, since it uses less digits than its factorization.

233142021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233142021 is about 15268.9888663264. The cubic root of 233142021 is about 615.4699481575.

Adding to 233142021 its reverse (120241332), we get a palindrome (353383353).

The spelling of 233142021 in words is "two hundred thirty-three million, one hundred forty-two thousand, twenty-one".

Divisors: 1 3 7 9 21 63 491 1473 3437 4419 7537 10311 22611 30933 52759 67833 158277 474831 3700667 11102001 25904669 33306003 77714007 233142021