Search a number
-
+
230303221002 = 23419163745707
BaseRepresentation
bin1101011001111100100…
…1000100010100001010
3211000110020010210220000
43112133021010110022
512233130111033002
6253444433143430
722432062036051
oct3263711042412
9730406123800
10230303221002
11897421896a8
12387740bab76
131894346c18a
14b20a8db398
155ecd9e661c
hex359f24450a

230303221002 has 80 divisors (see below), whose sum is σ = 543554051040. Its totient is φ = 72681315552.

The previous prime is 230303220997. The next prime is 230303221037. The reversal of 230303221002 is 200122303032.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5015833 + ... + 5061539.

It is an arithmetic number, because the mean of its divisors is an integer number (6794425638).

Almost surely, 2230303221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230303221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271777025520).

230303221002 is an abundant number, since it is smaller than the sum of its proper divisors (313250830038).

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

230303221002 is a wasteful number, since it uses less digits than its factorization.

230303221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47377 (or 47368 counting only the distinct ones).

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

Adding to 230303221002 its reverse (200122303032), we get a palindrome (430425524034).

The spelling of 230303221002 in words is "two hundred thirty billion, three hundred three million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 1637 3078 3274 4911 9822 14733 29466 31103 44199 45707 62206 88398 91414 93309 132597 137121 186618 265194 274242 279927 411363 559854 822726 839781 868433 1234089 1679562 1736866 2468178 2519343 2605299 3702267 5038686 5210598 7404534 7815897 15631794 23447691 46895382 70343073 74822359 140686146 149644718 224467077 448934154 673401231 1346802462 1421624821 2020203693 2843249642 4040407386 4264874463 6060611079 8529748926 12121222158 12794623389 25589246778 38383870167 76767740334 115151610501 230303221002