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232023330 = 232572114783
BaseRepresentation
bin11011101010001…
…10010100100010
3121011121000011200
431311012110202
5433344221310
635005022030
75515110600
oct1565062442
9534530150
10232023330
11109a75620
1265854916
13390ba216
1422b5a870
15155829c0
hexdd46522

232023330 has 144 divisors (see below), whose sum is σ = 765707904. Its totient is φ = 48202560.

The previous prime is 232023317. The next prime is 232023331. The reversal of 232023330 is 33320232.

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 (232023331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46119 + ... + 50901.

It is an arithmetic number, because the mean of its divisors is an integer number (5317416).

Almost surely, 2232023330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382853952).

232023330 is an abundant number, since it is smaller than the sum of its proper divisors (533684574).

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

232023330 is a wasteful number, since it uses less digits than its factorization.

232023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 232023330 is about 15232.3120372450. The cubic root of 232023330 is about 614.4839613294.

Adding to 232023330 its reverse (33320232), we get a palindrome (265343562).

The spelling of 232023330 in words is "two hundred thirty-two million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4410 4783 4851 5390 6930 8085 9566 9702 14349 16170 23915 24255 28698 33481 43047 47830 48510 52613 66962 71745 86094 100443 105226 143490 157839 167405 200886 215235 234367 263065 301329 315678 334810 368291 430470 468734 473517 502215 526130 602658 703101 736582 789195 947034 1004430 1104873 1171835 1406202 1506645 1578390 1841455 2109303 2209746 2343670 2367585 2578037 3013290 3314619 3515505 3682910 4218606 4735170 5156074 5524365 6629238 7031010 7734111 10546515 11048730 12890185 15468222 16573095 21093030 23202333 25780370 33146190 38670555 46404666 77341110 116011665 232023330