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20227767384 = 23311196166109
BaseRepresentation
bin10010110101101010…
…110011110001011000
31221012201010001100210
4102311222303301120
5312411302024014
613143103131120
71314156120516
oct226552636130
957181101323
1020227767384
118640058030
123b062a3aa0
131ba4934936
14d9c6554b6
157d5c5c859
hex4b5ab3c58

20227767384 has 128 divisors (see below), whose sum is σ = 59023008000. Its totient is φ = 5711731200.

The previous prime is 20227767379. The next prime is 20227767397. The reversal of 20227767384 is 48376772202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272922 + ... + 339030.

It is an arithmetic number, because the mean of its divisors is an integer number (461117250).

Almost surely, 220227767384 is an apocalyptic number.

20227767384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20227767384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29511504000).

20227767384 is an abundant number, since it is smaller than the sum of its proper divisors (38795240616).

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

20227767384 is a wasteful number, since it uses less digits than its factorization.

20227767384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66209 (or 66205 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 20227767384 in words is "twenty billion, two hundred twenty-seven million, seven hundred sixty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 61 66 76 88 114 122 132 152 183 209 228 244 264 366 418 456 488 627 671 732 836 1159 1254 1342 1464 1672 2013 2318 2508 2684 3477 4026 4636 5016 5368 6954 8052 9272 12749 13908 16104 25498 27816 38247 50996 66109 76494 101992 132218 152988 198327 264436 305976 396654 528872 727199 793308 1256071 1454398 1586616 2181597 2512142 2908796 3768213 4032649 4363194 5024284 5817592 7536426 8065298 8726388 10048568 12097947 13816781 15072852 16130596 17452776 24195894 27633562 30145704 32261192 41450343 44359139 48391788 55267124 76620331 82900686 88718278 96783576 110534248 133077417 153240662 165801372 177436556 229860993 266154834 306481324 331602744 354873112 459721986 532309668 612962648 842823641 919443972 1064619336 1685647282 1838887944 2528470923 3371294564 5056941846 6742589128 10113883692 20227767384