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233814681 = 3416992
BaseRepresentation
bin11011110111110…
…11101010011001
3121021222000110000
431323323222121
5434324032211
635111243213
75536251312
oct1573735231
9537860400
10233814681
1110aa89481
1266379509
13395966a9
14230a5609
15157d8656
hexdefba99

233814681 has 15 divisors (see below), whose sum is σ = 349484421. Its totient is φ = 155784708.

The previous prime is 233814673. The next prime is 233814683. The reversal of 233814681 is 186418332.

The square root of 233814681 is 15291.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 233814681 - 23 = 233814673 is a prime.

It is a super-2 number, since 2×2338146812 = 109338610102263522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233814683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 136770 + ... + 138468.

Almost surely, 2233814681 is an apocalyptic number.

233814681 is the 15291-st square number.

233814681 is the 7646-th centered octagonal number.

It is an amenable number.

233814681 is a deficient number, since it is larger than the sum of its proper divisors (115669740).

233814681 is an frugal number, since it uses more digits than its factorization.

233814681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 1702 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The cubic root of 233814681 is about 616.0612965722.

Multiplying 233814681 by its sum of digits (36), we get a square (8417328516 = 917462).

The spelling of 233814681 in words is "two hundred thirty-three million, eight hundred fourteen thousand, six hundred eighty-one".

Divisors: 1 3 9 27 81 1699 5097 15291 45873 137619 2886601 8659803 25979409 77938227 233814681