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2097165492 = 223417222397
BaseRepresentation
bin111110100000000…
…0011010010110100
312102011012001020000
41331000003102310
513243333243432
6544033311300
7102653420052
oct17500032264
95364161200
102097165492
11986882524
124a6405530
13275637936
1415c74d1d2
15c41a757c
hex7d0034b4

2097165492 has 90 divisors (see below), whose sum is σ = 5824129542. Its totient is φ = 657904896.

The previous prime is 2097165487. The next prime is 2097165493. The reversal of 2097165492 is 2945617902.

2097165492 is a `hidden beast` number, since 2 + 0 + 97 + 16 + 549 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1460309796 + 636855696 = 38214^2 + 25236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097165493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 82438 + ... + 104834.

Almost surely, 22097165492 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 2097165492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912064771).

2097165492 is an abundant number, since it is smaller than the sum of its proper divisors (3726964050).

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

2097165492 is a wasteful number, since it uses less digits than its factorization.

2097165492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22447 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2097165492 is about 45794.8194886714. The cubic root of 2097165492 is about 1280.0027449485.

The spelling of 2097165492 in words is "two billion, ninety-seven million, one hundred sixty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 22397 23409 31212 44794 46818 67191 89588 93636 134382 201573 268764 380749 403146 604719 761498 806292 1142247 1209438 1522996 1814157 2284494 2418876 3426741 3628314 4568988 6472733 6853482 7256628 10280223 12945466 13706964 19418199 20560446 25890932 30840669 38836398 41120892 58254597 61681338 77672796 116509194 123362676 174763791 233018388 349527582 524291373 699055164 1048582746 2097165492