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233413525 = 5297101953
BaseRepresentation
bin11011110100110…
…01101110010101
3121021012122011101
431322121232111
5434223213100
635054510101
75532660622
oct1572315625
9537178141
10233413525
1110a835044
1266205331
1339485c17
1422ddd349
151575986a
hexde99b95

233413525 has 24 divisors (see below), whose sum is σ = 295621704. Its totient is φ = 182784000.

The previous prime is 233413483. The next prime is 233413529. The reversal of 233413525 is 525314332.

It can be written as a sum of positive squares in 12 ways, for example, as 21594609 + 211818916 = 4647^2 + 14554^2 .

It is not a de Polignac number, because 233413525 - 29 = 233413013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233413493 and 233413502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233413529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244449 + ... + 245401.

It is an arithmetic number, because the mean of its divisors is an integer number (12317571).

Almost surely, 2233413525 is an apocalyptic number.

233413525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233413525 is a deficient number, since it is larger than the sum of its proper divisors (62208179).

233413525 is a wasteful number, since it uses less digits than its factorization.

233413525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its digits is 10800, while the sum is 28.

The square root of 233413525 is about 15277.8769794759. The cubic root of 233413525 is about 615.7087692960.

Adding to 233413525 its reverse (525314332), we get a palindrome (758727857).

The spelling of 233413525 in words is "two hundred thirty-three million, four hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 5 25 97 101 485 505 953 2425 2525 4765 9797 23825 48985 92441 96253 244925 462205 481265 2311025 2406325 9336541 46682705 233413525