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232243320 = 233531149419
BaseRepresentation
bin11011101011111…
…00000001111000
3121012000011221110
431311330001320
5433423241240
635013440320
75520015141
oct1565740170
9535004843
10232243320
1110a105931
12659400a0
13391663aa
1422bb6ac8
15155c7c80
hexdd7c078

232243320 has 128 divisors (see below), whose sum is σ = 725760000. Its totient is φ = 59389440.

The previous prime is 232243261. The next prime is 232243321. The reversal of 232243320 is 23342232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232243321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554071 + ... + 554489.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2232243320 is an apocalyptic number.

232243320 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 232243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880000).

232243320 is an abundant number, since it is smaller than the sum of its proper divisors (493516680).

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

232243320 is a wasteful number, since it uses less digits than its factorization.

232243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 232243320 is about 15239.5314888615. The cubic root of 232243320 is about 614.6781050620.

Adding to 232243320 its reverse (23342232), we get a palindrome (255585552).

The spelling of 232243320 in words is "two hundred thirty-two million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 149 155 186 248 298 310 372 419 447 465 596 620 744 745 838 894 930 1192 1240 1257 1490 1676 1788 1860 2095 2235 2514 2980 3352 3576 3720 4190 4470 4619 5028 5960 6285 8380 8940 9238 10056 12570 12989 13857 16760 17880 18476 23095 25140 25978 27714 36952 38967 46190 50280 51956 55428 62431 64945 69285 77934 92380 103912 110856 124862 129890 138570 155868 184760 187293 194835 249724 259780 277140 311736 312155 374586 389670 499448 519560 554280 624310 749172 779340 936465 1248620 1498344 1558680 1872930 1935361 2497240 3745860 3870722 5806083 7491720 7741444 9676805 11612166 15482888 19353610 23224332 29030415 38707220 46448664 58060830 77414440 116121660 232243320