Search a number
-
+
233102320 = 24511264889
BaseRepresentation
bin11011110010011…
…01101111110000
3121020121211021021
431321031233300
5434133233240
635044105224
75530223413
oct1571155760
9536554237
10233102320
1110a642250
1266095214
13393a7389
1422d5bb7a
15156e754a
hexde4dbf0

233102320 has 40 divisors (see below), whose sum is σ = 591234480. Its totient is φ = 84764160.

The previous prime is 233102297. The next prime is 233102323. The reversal of 233102320 is 23201332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 233102294 and 233102303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233102323) 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 7 ways as a sum of consecutive naturals, for example, 131565 + ... + 133324.

It is an arithmetic number, because the mean of its divisors is an integer number (14780862).

Almost surely, 2233102320 is an apocalyptic number.

233102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233102320 is an abundant number, since it is smaller than the sum of its proper divisors (358132160).

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

233102320 is a wasteful number, since it uses less digits than its factorization.

233102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264913 (or 264907 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 233102320 is about 15267.6887576345. The cubic root of 233102320 is about 615.4350107126.

Adding to 233102320 its reverse (23201332), we get a palindrome (256303652).

The spelling of 233102320 in words is "two hundred thirty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 264889 529778 1059556 1324445 2119112 2648890 2913779 4238224 5297780 5827558 10595560 11655116 14568895 21191120 23310232 29137790 46620464 58275580 116551160 233102320