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233005230 = 232517672273
BaseRepresentation
bin11011110001101…
…10000010101110
3121020102220002100
431320312002232
5434122131410
635042035530
75526340353
oct1570660256
9536386070
10233005230
1110a586307
1266048ba6
1339372123
1422d3462a
15156c88c0
hexde360ae

233005230 has 96 divisors (see below), whose sum is σ = 651309984. Its totient is φ = 57581568.

The previous prime is 233005229. The next prime is 233005237. The reversal of 233005230 is 32500332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233005237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101374 + ... + 103646.

It is an arithmetic number, because the mean of its divisors is an integer number (6784479).

Almost surely, 2233005230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233005230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325654992).

233005230 is an abundant number, since it is smaller than the sum of its proper divisors (418304754).

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

233005230 is a wasteful number, since it uses less digits than its factorization.

233005230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 233005230 is about 15264.5088358584. The cubic root of 233005230 is about 615.3495534150.

Adding to 233005230 its reverse (32500332), we get a palindrome (265505562).

The spelling of 233005230 in words is "two hundred thirty-three million, five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1530 2010 2273 2278 3015 3417 4546 5695 6030 6819 6834 10251 11365 11390 13638 17085 20457 20502 22730 34095 34170 38641 40914 51255 68190 77282 102285 102510 115923 152291 193205 204570 231846 304582 347769 386410 456873 579615 695538 761455 913746 1159230 1370619 1522910 1738845 2284365 2588947 2741238 3477690 4568730 5177894 6853095 7766841 12944735 13706190 15533682 23300523 25889470 38834205 46601046 77668410 116502615 233005230