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331033230 = 23451153701
BaseRepresentation
bin10011101110110…
…010101010001110
3212001220020020000
4103232302222032
51134221030410
652503105130
711126510313
oct2356625216
9761806200
10331033230
1115a950190
1292a421a6
1353775168
1431d70d0a
151e0dddc0
hex13bb2a8e

331033230 has 160 divisors (see below), whose sum is σ = 990763488. Its totient is φ = 78624000.

The previous prime is 331033229. The next prime is 331033243. The reversal of 331033230 is 32330133.

331033230 is a `hidden beast` number, since 331 + 0 + 332 + 3 + 0 = 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 79 ways as a sum of consecutive naturals, for example, 471880 + ... + 472580.

Almost surely, 2331033230 is an apocalyptic number.

331033230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331033230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495381744).

331033230 is an abundant number, since it is smaller than the sum of its proper divisors (659730258).

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

331033230 is a wasteful number, since it uses less digits than its factorization.

331033230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 331033230 is about 18194.3186187337. The cubic root of 331033230 is about 691.7627894344.

Adding to 331033230 its reverse (32330133), we get a palindrome (363363363).

The spelling of 331033230 in words is "three hundred thirty-one million, thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 53 54 55 66 81 90 99 106 110 135 159 162 165 198 265 270 297 318 330 405 477 495 530 583 594 701 795 810 891 954 990 1166 1402 1431 1485 1590 1749 1782 2103 2385 2862 2915 2970 3498 3505 4206 4293 4455 4770 5247 5830 6309 7010 7155 7711 8586 8745 8910 10494 10515 12618 14310 15422 15741 17490 18927 21030 21465 23133 26235 31482 31545 37153 37854 38555 42930 46266 47223 52470 56781 63090 69399 74306 77110 78705 94446 94635 111459 113562 115665 138798 157410 185765 189270 208197 222918 231330 236115 283905 334377 346995 371530 408683 416394 472230 557295 567810 624591 668754 693990 817366 1003131 1040985 1114590 1226049 1249182 1671885 2006262 2043415 2081970 2452098 3009393 3122955 3343770 3678147 4086830 5015655 6018786 6130245 6245910 7356294 10031310 11034441 12260490 15046965 18390735 22068882 30093930 33103323 36781470 55172205 66206646 110344410 165516615 331033230