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20223300312 = 23325310974831
BaseRepresentation
bin10010110101011001…
…110001001011011000
31221012101201002200200
4102311121301023120
5312404131102222
613142423302200
71314103134135
oct226531611330
957171632620
1020223300312
118638586936
123b048aa960
131ba3a2c5b7
14d9bc1158c
157d5678eac
hex4b56712d8

20223300312 has 96 divisors (see below), whose sum is σ = 55867294080. Its totient is φ = 6606512640.

The previous prime is 20223300289. The next prime is 20223300329. The reversal of 20223300312 is 21300332202.

It is a happy number.

20223300312 is a `hidden beast` number, since 2 + 0 + 22 + 330 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 4183737 + ... + 4188567.

It is an arithmetic number, because the mean of its divisors is an integer number (581950980).

Almost surely, 220223300312 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 20223300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27933647040).

20223300312 is an abundant number, since it is smaller than the sum of its proper divisors (35643993768).

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

20223300312 is a wasteful number, since it uses less digits than its factorization.

20223300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20223300312 its reverse (21300332202), we get a palindrome (41523632514).

The spelling of 20223300312 in words is "twenty billion, two hundred twenty-three million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1097 1272 1908 2194 3291 3816 4388 4831 6582 8776 9662 9873 13164 14493 19324 19746 26328 28986 38648 39492 43479 57972 58141 78984 86958 115944 116282 173916 174423 232564 256043 347832 348846 465128 512086 523269 697692 768129 1024172 1046538 1395384 1536258 2048344 2093076 2304387 3072516 4186152 4608774 5299607 6145032 9217548 10599214 15898821 18435096 21198428 31797642 42396856 47696463 63595284 95392926 127190568 190785852 280879171 381571704 561758342 842637513 1123516684 1685275026 2247033368 2527912539 3370550052 5055825078 6741100104 10111650156 20223300312