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232433630 = 2511132337191
BaseRepresentation
bin11011101101010…
…10011111011110
3121012100211222222
431312222133132
5434000334010
635021505342
75521440032
oct1566523736
9535324888
10232433630
1110a225910
1265a12252
1339201bc0
1422c261c2
1515614355
hexddaa7de

232433630 has 128 divisors (see below), whose sum is σ = 529514496. Its totient is φ = 72230400.

The previous prime is 232433609. The next prime is 232433647. The reversal of 232433630 is 36334232.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 232433630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216835 + ... + 1217025.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2232433630 is an apocalyptic number.

232433630 is an abundant number, since it is smaller than the sum of its proper divisors (297080866).

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

232433630 is a wasteful number, since it uses less digits than its factorization.

232433630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 232433630 is about 15245.7741686016. The cubic root of 232433630 is about 614.8459569685.

Adding to 232433630 its reverse (36334232), we get a palindrome (268767862).

It can be divided in two parts, 23 and 2433630, that multiplied together give a triangular number (55973490 = T10580).

The spelling of 232433630 in words is "two hundred thirty-two million, four hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 5 10 11 13 22 23 26 37 46 55 65 74 110 115 130 143 185 191 230 253 286 299 370 382 407 481 506 598 715 814 851 955 962 1265 1430 1495 1702 1910 2035 2101 2405 2483 2530 2990 3289 4070 4202 4255 4393 4810 4966 5291 6578 7067 8510 8786 9361 10505 10582 11063 12415 14134 16445 18722 21010 21965 22126 24830 26455 27313 32890 35335 43930 46805 48323 52910 54626 55315 57109 70670 77737 91871 93610 96646 110630 114218 121693 136565 155474 162541 183742 241615 243386 273130 285545 325082 388685 459355 483230 571090 608465 628199 777370 812705 918710 1010581 1216930 1256398 1625410 1787951 2021162 2113033 3140995 3575902 4226066 5052905 6281990 8939755 10105810 10565165 17879510 21130330 23243363 46486726 116216815 232433630