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233320140 = 2232511311471
BaseRepresentation
bin11011110100000…
…10111011001100
3121021000220001200
431322002323030
5434212221030
635052505500
75532121434
oct1572027314
9537026050
10233320140
1110a780969
126617b290
1339452571
1422db72c4
151573bd60
hexde82ecc

233320140 has 72 divisors (see below), whose sum is σ = 714063168. Its totient is φ = 61662720.

The previous prime is 233320123. The next prime is 233320141. The reversal of 233320140 is 41023332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (233320141) 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, 14605 + ... + 26075.

It is an arithmetic number, because the mean of its divisors is an integer number (9917544).

Almost surely, 2233320140 is an apocalyptic number.

233320140 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 233320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357031584).

233320140 is an abundant number, since it is smaller than the sum of its proper divisors (480743028).

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

233320140 is a wasteful number, since it uses less digits than its factorization.

233320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11594 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233320140 is about 15274.8204572100. The cubic root of 233320140 is about 615.6266466154.

Adding to 233320140 its reverse (41023332), we get a palindrome (274343472).

The spelling of 233320140 in words is "two hundred thirty-three million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 11471 20340 22942 34413 45884 57355 68826 103239 114710 137652 172065 206478 229420 344130 412956 516195 688260 1032390 1296223 2064780 2592446 3888669 5184892 6481115 7777338 11666007 12962230 15554676 19443345 23332014 25924460 38886690 46664028 58330035 77773380 116660070 233320140