Search a number
-
+
235813221 = 33711172
BaseRepresentation
bin11100000111000…
…11100101100101
3121102201112221000
432003203211211
5440332010341
635222143513
75562244050
oct1603434545
9542645830
10235813221
11111123a66
1266b81b99
1339b16267
1423465a97
1515a808b6
hexe0e3965

235813221 has 24 divisors (see below), whose sum is σ = 399618240. Its totient is φ = 134629776.

The previous prime is 235813217. The next prime is 235813229. The reversal of 235813221 is 122318532.

235813221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 235813221 - 22 = 235813217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235813229) 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, 210555 + ... + 211671.

It is an arithmetic number, because the mean of its divisors is an integer number (16650760).

Almost surely, 2235813221 is an apocalyptic number.

235813221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

235813221 is a deficient number, since it is larger than the sum of its proper divisors (163805019).

235813221 is an frugal number, since it uses more digits than its factorization.

235813221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 1127 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 235813221 is about 15356.2111537970. The cubic root of 235813221 is about 617.8115883366.

The spelling of 235813221 in words is "two hundred thirty-five million, eight hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1117 3351 7819 10053 23457 30159 70371 211113 1247689 3743067 8733823 11229201 26201469 33687603 78604407 235813221