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233245240 = 235311371373
BaseRepresentation
bin11011110011100…
…00101000111000
3121020220002022121
431321300220320
5434202321430
635051131024
75531360164
oct1571605070
9536802277
10233245240
1110a72a668
1266143a74
1339427447
1422d97ca4
1515724a7a
hexde70a38

233245240 has 64 divisors (see below), whose sum is σ = 546082560. Its totient is φ = 89564160.

The previous prime is 233245223. The next prime is 233245247. The reversal of 233245240 is 42542332.

233245240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233245247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169194 + ... + 170566.

It is an arithmetic number, because the mean of its divisors is an integer number (8532540).

Almost surely, 2233245240 is an apocalyptic number.

233245240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273041280).

233245240 is an abundant number, since it is smaller than the sum of its proper divisors (312837320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233245240 is a wasteful number, since it uses less digits than its factorization.

233245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 233245240 is about 15272.3685131023. The cubic root of 233245240 is about 615.5607637890.

Adding to 233245240 its reverse (42542332), we get a palindrome (275787572).

The spelling of 233245240 in words is "two hundred thirty-three million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 137 155 248 274 310 548 620 685 1096 1240 1370 1373 2740 2746 4247 5480 5492 6865 8494 10984 13730 16988 21235 27460 33976 42470 42563 54920 84940 85126 169880 170252 188101 212815 340504 376202 425630 752404 851260 940505 1504808 1702520 1881010 3762020 5831131 7524040 11662262 23324524 29155655 46649048 58311310 116622620 233245240