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30221916912 = 24331112834957
BaseRepresentation
bin11100001001010111…
…011101101011110000
32220000012212110011000
4130021113131223300
5443343302320122
621514520322000
72116633024635
oct341127355360
986005773130
1030221916912
11118a9536540
125a35313300
132b08354195
141669ad418c
15bbd3620ac
hex7095ddaf0

30221916912 has 160 divisors (see below), whose sum is σ = 94727151360. Its totient is φ = 9149172480.

The previous prime is 30221916887. The next prime is 30221916913. The reversal of 30221916912 is 21961912203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30221916913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6094338 + ... + 6099294.

It is an arithmetic number, because the mean of its divisors is an integer number (592044696).

Almost surely, 230221916912 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 30221916912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47363575680).

30221916912 is an abundant number, since it is smaller than the sum of its proper divisors (64505234448).

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

30221916912 is a wasteful number, since it uses less digits than its factorization.

30221916912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 30221916912 in words is "thirty billion, two hundred twenty-one million, nine hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1283 1584 2376 2566 3849 4752 4957 5132 7698 9914 10264 11547 14113 14871 15396 19828 20528 23094 28226 29742 30792 34641 39656 42339 44613 46188 54527 56452 59484 61584 69282 79312 84678 89226 92376 109054 112904 118968 127017 133839 138564 163581 169356 178452 184752 218108 225808 237936 254034 267678 277128 327162 338712 356904 381051 436216 490743 508068 535356 554256 654324 677424 713808 762102 872432 981486 1016136 1070712 1308648 1472229 1524204 1962972 2032272 2141424 2617296 2944458 3048408 3925944 5888916 6096816 6359831 7851888 11777832 12719662 19079493 23555664 25439324 38158986 50878648 57238479 69958141 76317972 101757296 114476958 139916282 152635944 171715437 209874423 228953916 279832564 305271888 343430874 419748846 457907832 559665128 629623269 686861748 839497692 915815664 1119330256 1259246538 1373723496 1678995384 1888869807 2518493076 2747446992 3357990768 3777739614 5036986152 7555479228 10073972304 15110958456 30221916912