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233142825 = 35219279109
BaseRepresentation
bin11011110010101…
…11101000101001
3121020200212211110
431321113220221
5434141032300
635045020533
75530452456
oct1571275051
9536625743
10233142825
1110a66a723
12660b4749
13393bc946
1422d6c82d
1515704550
hexde57a29

233142825 has 72 divisors (see below), whose sum is σ = 415747200. Its totient is φ = 115240320.

The previous prime is 233142817. The next prime is 233142841. The reversal of 233142825 is 528241332.

It is not a de Polignac number, because 233142825 - 23 = 233142817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233142792 and 233142801.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138871 + ... + 2138979.

Almost surely, 2233142825 is an apocalyptic number.

233142825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233142825 is a deficient number, since it is larger than the sum of its proper divisors (182604375).

233142825 is a wasteful number, since it uses less digits than its factorization.

233142825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 233142825 is about 15269.0151941767. The cubic root of 233142825 is about 615.4706556480.

The spelling of 233142825 in words is "two hundred thirty-three million, one hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 79 95 109 237 285 327 361 395 475 545 1083 1185 1425 1501 1635 1805 1975 2071 2725 4503 5415 5925 6213 7505 8175 8611 9025 10355 22515 25833 27075 28519 31065 37525 39349 43055 51775 85557 112575 118047 129165 142595 155325 163609 196745 215275 427785 490827 590235 645825 712975 818045 983725 2138925 2454135 2951175 3108571 4090225 9325713 12270675 15542855 46628565 77714275 233142825