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22327004084 = 22711235359467
BaseRepresentation
bin10100110010110010…
…110000101110110100
32010122000012022202012
4110302302300232310
5331211203112314
614131253103352
71420166255240
oct246262605664
963560168665
1022327004084
1195180146a0
1243b1327b58
13214a816228
14111b383420
158aa1c393e
hex532cb0bb4

22327004084 has 96 divisors (see below), whose sum is σ = 51791394816. Its totient is φ = 8163492480.

The previous prime is 22327004059. The next prime is 22327004093. The reversal of 22327004084 is 48040072322.

It is a super-3 number, since 3×223270040843 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22327004084.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 345719 + ... + 405185.

It is an arithmetic number, because the mean of its divisors is an integer number (539493696).

Almost surely, 222327004084 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 22327004084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25895697408).

22327004084 is an abundant number, since it is smaller than the sum of its proper divisors (29464390732).

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

22327004084 is a wasteful number, since it uses less digits than its factorization.

22327004084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59565 (or 59563 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 22327004084 in words is "twenty-two billion, three hundred twenty-seven million, four thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 53 77 92 106 154 161 212 253 308 322 371 506 583 644 742 1012 1166 1219 1484 1771 2332 2438 3542 4081 4876 7084 8162 8533 13409 16324 17066 26818 34132 53636 59467 93863 118934 187726 237868 375452 416269 654137 832538 1308274 1367741 1665076 2616548 2735482 3151751 4578959 5470964 6303502 9157918 9574187 12607004 15045151 18315836 19148374 22062257 30090302 34669261 38296748 44124514 60180604 69338522 72490273 88249028 105316057 138677044 144980546 210632114 242684827 289961092 421264228 485369654 507431911 797393003 970739308 1014863822 1594786006 2029727644 3189572012 5581751021 11163502042 22327004084