Search a number
-
+
30220014032 = 24133743531723
BaseRepresentation
bin11100001001010000…
…001101000111010000
32220000002021202212222
4130021100031013100
5443342310422112
621514411440212
72116610611115
oct341120150720
986002252788
1030220014032
11118a845690a
125a34756068
132b07b39010
14166975a90c
15bbd0d8372
hex70940d1d0

30220014032 has 160 divisors (see below), whose sum is σ = 67554926208. Its totient is φ = 12997490688.

The previous prime is 30220014029. The next prime is 30220014043. The reversal of 30220014032 is 23041002203.

It is a self number, because there is not a number n which added to its sum of digits gives 30220014032.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17538323 + ... + 17540045.

Almost surely, 230220014032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30220014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33777463104).

30220014032 is an abundant number, since it is smaller than the sum of its proper divisors (37334912176).

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

30220014032 is a wasteful number, since it uses less digits than its factorization.

30220014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 30220014032 its reverse (23041002203), we get a palindrome (53261016235).

The spelling of 30220014032 in words is "thirty billion, two hundred twenty million, fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 37 43 52 53 74 86 104 106 148 172 208 212 296 344 424 481 559 592 688 689 848 962 1118 1378 1591 1723 1924 1961 2236 2279 2756 3182 3446 3848 3922 4472 4558 5512 6364 6892 7696 7844 8944 9116 11024 12728 13784 15688 18232 20683 22399 25456 25493 27568 29627 31376 36464 41366 44798 50986 59254 63751 74089 82732 84323 89596 91319 101972 118508 127502 148178 165464 168646 179192 182638 203944 237016 255004 296356 330928 337292 358384 365276 407888 474032 510008 592712 674584 730552 828763 963157 1020016 1096199 1185424 1187147 1349168 1461104 1657526 1926314 2192398 2374294 2741293 3315052 3378803 3852628 3926717 4384796 4748588 5482586 6630104 6757606 7705256 7853434 8769592 9497176 10965172 13260208 13515212 15410512 15706868 17539184 18994352 21930344 27030424 31413736 35636809 43860688 43924439 51047321 54060848 62827472 71273618 87848878 102094642 142547236 145288529 175697756 204189284 285094472 290577058 351395512 408378568 570188944 581154116 702791024 816757136 1162308232 1888750877 2324616464 3777501754 7555003508 15110007016 30220014032