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230233020210 = 232517931745083
BaseRepresentation
bin1101011001101011110…
…1010001011100110010
3211000021100001020111200
43112122331101130302
512233004123121320
6253433444352030
722430250245034
oct3263275213462
9730240036450
10230233020210
11897065a0816
12387546a5616
1318931a6014b
14b201465c54
155ec777b290
hex359af51732

230233020210 has 96 divisors (see below), whose sum is σ = 603862309440. Its totient is φ = 60858536064.

The previous prime is 230233020191. The next prime is 230233020217. The reversal of 230233020210 is 12020332032.

It is a happy number.

230233020210 is a `hidden beast` number, since 2 + 302 + 330 + 20 + 2 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230233020217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5084329 + ... + 5129411.

It is an arithmetic number, because the mean of its divisors is an integer number (6290232390).

Almost surely, 2230233020210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230233020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301931154720).

230233020210 is an abundant number, since it is smaller than the sum of its proper divisors (373629289230).

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

230233020210 is a wasteful number, since it uses less digits than its factorization.

230233020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45592 (or 45589 counting only the distinct ones).

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

Adding to 230233020210 its reverse (12020332032), we get a palindrome (242253352242).

The spelling of 230233020210 in words is "two hundred thirty billion, two hundred thirty-three million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 317 358 537 634 895 951 1074 1585 1611 1790 1902 2685 2853 3170 3222 4755 5370 5706 8055 9510 14265 16110 28530 45083 56743 90166 113486 135249 170229 225415 270498 283715 340458 405747 450830 510687 567430 676245 811494 851145 1021374 1352490 1702290 2028735 2553435 4057470 5106870 8069857 14291311 16139714 24209571 28582622 40349285 42873933 48419142 71456555 72628713 80698570 85747866 121047855 128621799 142913110 145257426 214369665 242095710 257243598 363143565 428739330 643108995 726287130 1286217990 2558144669 5116289338 7674434007 12790723345 15348868014 23023302021 25581446690 38372170035 46046604042 76744340070 115116510105 230233020210