Search a number
-
+
232032333031020 = 223351373136419749
BaseRepresentation
bin110100110000100000111100…
…110010010110011001101100
31010102120002000020110211022000
4310300200330302112121230
5220403104204223443040
62141254103210452300
766605532342523464
oct6460407462263154
91112502006424260
10232032333031020
1167a293a5a1aa25
1222035506a34090
139c6172a7961c2
1441425d3a94ba4
151bc5a606b8130
hexd3083cc9666c

232032333031020 has 96 divisors (see below), whose sum is σ = 727147554840000. Its totient is φ = 61423644344832.

The previous prime is 232032333031003. The next prime is 232032333031021. The reversal of 232032333031020 is 20130333230232.

232032333031020 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 323 + 3 + 3 + 0 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232032333031021) 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, 1568135895 + ... + 1568283854.

It is an arithmetic number, because the mean of its divisors is an integer number (7574453696250).

Almost surely, 2232032333031020 is an apocalyptic number.

232032333031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232032333031020 is an abundant number, since it is smaller than the sum of its proper divisors (495115221808980).

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

232032333031020 is a wasteful number, since it uses less digits than its factorization.

232032333031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136419904 (or 3136419896 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 232032333031020 its reverse (20130333230232), we get a palindrome (252162666261252).

The spelling of 232032333031020 in words is "two hundred thirty-two trillion, thirty-two billion, three hundred thirty-three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 18495 24660 36990 73980 3136419749 6272839498 9409259247 12545678996 15682098745 18818518494 28227777741 31364197490 37637036988 47046296235 56455555482 62728394980 84683333223 94092592470 112911110964 141138888705 169366666446 188185184940 282277777410 338733332892 423416666115 429689505613 564555554820 846833332230 859379011226 1289068516839 1693666664460 1718758022452 2148447528065 2578137033678 3867205550517 4296895056130 5156274067356 6445342584195 7734411101034 8593790112260 11601616651551 12890685168390 15468822202068 19336027752585 23203233303102 25781370336780 38672055505170 46406466606204 58008083257755 77344111010340 116016166515510 232032333031020