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22334993307 = 32112943227797
BaseRepresentation
bin10100110011010001…
…001111001110011011
32010122120020012220100
4110303101033032123
5331220224241212
614132140230443
71420324211364
oct246321171633
963576205810
1022334993307
119521581060
1243b3b3b423
13214c382793
14111c462b6b
158aac50bdc
hex53344f39b

22334993307 has 96 divisors (see below), whose sum is σ = 37465908480. Its totient is φ = 12693461760.

The previous prime is 22334993257. The next prime is 22334993323. The reversal of 22334993307 is 70339943322.

22334993307 is a `hidden beast` number, since 2 + 2 + 334 + 9 + 9 + 3 + 307 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22334993307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22334993347) 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 95 ways as a sum of consecutive naturals, for example, 28023433 + ... + 28024229.

It is an arithmetic number, because the mean of its divisors is an integer number (390269880).

Almost surely, 222334993307 is an apocalyptic number.

22334993307 is a deficient number, since it is larger than the sum of its proper divisors (15130915173).

22334993307 is a wasteful number, since it uses less digits than its factorization.

22334993307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 22334993307 in words is "twenty-two billion, three hundred thirty-four million, nine hundred ninety-three thousand, three hundred seven".

Divisors: 1 3 9 11 29 33 43 87 99 129 227 261 319 387 473 681 797 957 1247 1419 2043 2391 2497 2871 3741 4257 6583 7173 7491 8767 9761 11223 13717 19749 22473 23113 26301 29283 34271 41151 59247 69339 72413 78903 87849 102813 107371 123453 180919 208017 217239 254243 283069 308439 322113 376981 542757 651717 762729 849207 966339 993859 1130943 1628271 1990109 2288187 2547621 2981577 3113759 3392829 5246651 5970327 7779517 8944731 9341277 10932449 15739953 17910981 23338551 28023831 32797347 47219859 57713161 70015653 85574687 98392041 173139483 225605993 256724061 519418449 676817979 770172183 2030453937 2481665923 7444997769 22334993307