Search a number
-
+
30220241004 = 22322931933761
BaseRepresentation
bin11100001001010001…
…000100100001101100
32220000002201022020100
4130021101010201230
5443342340203004
621514420351100
72116612544622
oct341121044154
986002638210
1030220241004
11118a85a1398
125a34845490
132b07bb8415
1416697b9512
15bbd130739
hex70944486c

30220241004 has 72 divisors (see below), whose sum is σ = 81573448320. Its totient is φ = 9412300800.

The previous prime is 30220240979. The next prime is 30220241017. The reversal of 30220241004 is 40014202203.

30220241004 is a `hidden beast` number, since 30 + 220 + 2 + 410 + 0 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434517 + ... + 499244.

It is an arithmetic number, because the mean of its divisors is an integer number (1132964560).

Almost surely, 230220241004 is an apocalyptic number.

It is an amenable number.

30220241004 is an abundant number, since it is smaller than the sum of its proper divisors (51353207316).

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

30220241004 is a wasteful number, since it uses less digits than its factorization.

30220241004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933831 (or 933826 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30220241004 its reverse (40014202203), we get a palindrome (70234443207).

It can be divided in two parts, 302202 and 41004, that added together give a triangular number (343206 = T828).

The spelling of 30220241004 in words is "thirty billion, two hundred twenty million, two hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 933761 1867522 2801283 3735044 5602566 8403849 11205132 16807698 27079069 28946591 33615396 54158138 57893182 81237207 86839773 108316276 115786364 162474414 173679546 243711621 260519319 324948828 347359092 487423242 521038638 839451139 974846484 1042077276 1678902278 2518353417 3357804556 5036706834 7555060251 10073413668 15110120502 30220241004