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233390245 = 511241972
BaseRepresentation
bin11011110100101…
…00000010100101
3121021011110020011
431322110002211
5434221441440
635054210221
75532533014
oct1572240245
9537143204
10233390245
1110a819600
12661b3971
133947844a
1422dd4a7b
15157529ea
hexde940a5

233390245 has 36 divisors (see below), whose sum is σ = 318636612. Its totient is φ = 163891200.

The previous prime is 233390237. The next prime is 233390249. The reversal of 233390245 is 542093332.

It can be written as a sum of positive squares in 6 ways, for example, as 36072036 + 197318209 = 6006^2 + 14047^2 .

It is not a de Polignac number, because 233390245 - 23 = 233390237 is a prime.

It is a super-2 number, since 2×2333902452 = 108942012922320050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233390249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2406037 + ... + 2406133.

It is an arithmetic number, because the mean of its divisors is an integer number (8851017).

Almost surely, 2233390245 is an apocalyptic number.

It is an amenable number.

233390245 is a deficient number, since it is larger than the sum of its proper divisors (85246367).

233390245 is an equidigital number, since it uses as much as digits as its factorization.

233390245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 233390245 is about 15277.1150745159. The cubic root of 233390245 is about 615.6882989360.

The spelling of 233390245 in words is "two hundred thirty-three million, three hundred ninety thousand, two hundred forty-five".

Divisors: 1 5 11 41 55 97 121 205 451 485 605 1067 2255 3977 4961 5335 9409 11737 19885 24805 43747 47045 58685 103499 218735 385769 481217 517495 1138489 1928845 2406085 4243459 5692445 21217295 46678049 233390245