Search a number
-
+
232210300230 = 2345232541927
BaseRepresentation
bin1101100001000011001…
…1111111110101000110
3211012101010122110210000
43120100303333311012
512301031314101410
6254402000342130
722530246661566
oct3302063776506
9735333573700
10232210300230
118a53072a537
1239006914946
1318b885b101c
14b34bcc8da6
156091151dc0
hex3610cffd46

232210300230 has 120 divisors (see below), whose sum is σ = 652716508752. Its totient is φ = 59230344096.

The previous prime is 232210300229. The next prime is 232210300249. The reversal of 232210300230 is 32003012232.

It is a happy number.

232210300230 is a `hidden beast` number, since 2 + 322 + 10 + 300 + 2 + 30 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157527 + ... + 699453.

Almost surely, 2232210300230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232210300230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326358254376).

232210300230 is an abundant number, since it is smaller than the sum of its proper divisors (420506208522).

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

232210300230 is a wasteful number, since it uses less digits than its factorization.

232210300230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541992 (or 541960 counting only the distinct ones).

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

Adding to 232210300230 its reverse (32003012232), we get a palindrome (264213312462).

The spelling of 232210300230 in words is "two hundred thirty-two billion, two hundred ten million, three hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 529 621 690 810 1035 1058 1242 1587 1863 2070 2645 3105 3174 3726 4761 5290 6210 7935 9315 9522 14283 15870 18630 23805 28566 42849 47610 71415 85698 142830 214245 428490 541927 1083854 1625781 2709635 3251562 4877343 5419270 8128905 9754686 12464321 14632029 16257810 24386715 24928642 29264058 37392963 43896087 48773430 62321605 73160145 74785926 87792174 112178889 124643210 146320290 186964815 219480435 224357778 286679383 336536667 373929630 438960870 560894445 573358766 673073334 860038149 1009610001 1121788890 1433396915 1682683335 1720076298 2019220002 2580114447 2866793830 3365366670 4300190745 5048050005 5160228894 7740343341 8600381490 10096100010 12900572235 15480686682 23221030023 25801144470 38701716705 46442060046 77403433410 116105150115 232210300230