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997272168 = 233435318233
BaseRepresentation
bin111011011100010…
…010101001101000
32120111112200020020
4323130102221220
54020300202133
6242543000440
733466450014
oct7334225150
92514480206
10997272168
11471a30382
12239b99120
1312b7c3699
149663b544
155c8430b3
hex3b712a68

997272168 has 64 divisors (see below), whose sum is σ = 2599439040. Its totient is φ = 318549504.

The previous prime is 997272161. The next prime is 997272169. The reversal of 997272168 is 861272799.

997272168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 997272168.

It is not an unprimeable number, because it can be changed into a prime (997272161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45580 + ... + 63812.

It is an arithmetic number, because the mean of its divisors is an integer number (40616235).

Almost surely, 2997272168 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 997272168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299719520).

997272168 is an abundant number, since it is smaller than the sum of its proper divisors (1602166872).

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

997272168 is a wasteful number, since it uses less digits than its factorization.

997272168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338 (or 18334 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 997272168 is about 31579.6163371248. The cubic root of 997272168 is about 999.0898946262.

The spelling of 997272168 in words is "nine hundred ninety-seven million, two hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 212 258 318 344 424 516 636 1032 1272 2279 4558 6837 9116 13674 18232 18233 27348 36466 54696 54699 72932 109398 145864 218796 437592 784019 966349 1568038 1932698 2352057 2899047 3136076 3865396 4704114 5798094 6272152 7730792 9408228 11596188 18816456 23192376 41553007 83106014 124659021 166212028 249318042 332424056 498636084 997272168