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200330424234 = 23517229105883
BaseRepresentation
bin1011101010010010011…
…1111010111110101010
3201011002101000222100000
42322210213322332222
511240234042033414
6232010332123430
720321242336653
oct2724447727652
9634071028300
10200330424234
1177a61335886
12329aa306576
1315b77910085
1499a5d3452a
155327492b09
hex2ea49fafaa

200330424234 has 96 divisors (see below), whose sum is σ = 478688857920. Its totient is φ = 62573720832.

The previous prime is 200330424181. The next prime is 200330424313. The reversal of 200330424234 is 432424033002.

200330424234 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 3 + 0 + 424 + 234 = 666.

It is a super-3 number, since 3×2003304242343 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200330424198 and 200330424207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839057 + ... + 1944939.

It is an arithmetic number, because the mean of its divisors is an integer number (4986342270).

Almost surely, 2200330424234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200330424234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239344428960).

200330424234 is an abundant number, since it is smaller than the sum of its proper divisors (278358433686).

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

200330424234 is a wasteful number, since it uses less digits than its factorization.

200330424234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106146 (or 106134 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 200330424234 its reverse (432424033002), we get a palindrome (632754457236).

The spelling of 200330424234 in words is "two hundred billion, three hundred thirty million, four hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 229 243 306 458 459 486 687 918 1374 1377 2061 2754 3893 4122 4131 6183 7786 8262 11679 12366 18549 23358 35037 37098 55647 70074 105111 105883 111294 210222 211766 315333 317649 630666 635298 945999 952947 1800011 1891998 1905894 2858841 3600022 5400033 5717682 8576523 10800066 16200099 17153046 24247207 25729569 32400198 48494414 48600297 51459138 72741621 97200594 145483242 145800891 218224863 291601782 412202519 436449726 437402673 654674589 824405038 874805346 1236607557 1309349178 1964023767 2473215114 3709822671 3928047534 5892071301 7419645342 11129468013 11784142602 22258936026 33388404039 66776808078 100165212117 200330424234