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2013232230 = 2325831811489
BaseRepresentation
bin111011111111111…
…0111110001100110
312012022020210102200
41313333313301212
513110341412410
6531434315330
7100614122502
oct16777676146
95168223380
102013232230
11943465199
12482288b46
1326112b199
14151541302
15bbb283c0
hex77ff7c66

2013232230 has 96 divisors (see below), whose sum is σ = 5330314080. Its totient is φ = 527109120.

The previous prime is 2013232217. The next prime is 2013232231. The reversal of 2013232230 is 322323102.

It is a happy number.

2013232230 is a `hidden beast` number, since 201 + 3 + 232 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013232231) by changing a digit.

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, 1351326 + ... + 1352814.

It is an arithmetic number, because the mean of its divisors is an integer number (55524105).

Almost surely, 22013232230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013232230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665157040).

2013232230 is an abundant number, since it is smaller than the sum of its proper divisors (3317081850).

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

2013232230 is a wasteful number, since it uses less digits than its factorization.

2013232230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1763 counting only the distinct ones).

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

The square root of 2013232230 is about 44869.0564866256. The cubic root of 2013232230 is about 1262.6935386724.

Adding to 2013232230 its reverse (322323102), we get a palindrome (2335555332).

The spelling of 2013232230 in words is "two billion, thirteen million, two hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 181 249 362 415 498 543 747 830 905 1086 1245 1489 1494 1629 1810 2490 2715 2978 3258 3735 4467 5430 7445 7470 8145 8934 13401 14890 15023 16290 22335 26802 30046 44670 45069 67005 75115 90138 123587 134010 135207 150230 225345 247174 269509 270414 370761 450690 539018 617935 676035 741522 808527 1112283 1235870 1347545 1352070 1617054 1853805 2224566 2425581 2695090 3707610 4042635 4851162 5561415 8085270 11122830 12127905 22369247 24255810 44738494 67107741 111846235 134215482 201323223 223692470 335538705 402646446 671077410 1006616115 2013232230