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2193089508 = 2232413374409
BaseRepresentation
bin1000001010110111…
…1110001111100100
312122211200111020100
42002231332033210
513442412331013
61001341304100
7105226644651
oct20255761744
95584614210
102193089508
11a25a3a675
12512565030
1328c4820cc
1416b39cc28
15cc804473
hex82b7e3e4

2193089508 has 72 divisors (see below), whose sum is σ = 5696996760. Its totient is φ = 710922240.

The previous prime is 2193089489. The next prime is 2193089519. The reversal of 2193089508 is 8059803912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 2045029284 = 12168^2 + 45222^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 495208 + ... + 499616.

It is an arithmetic number, because the mean of its divisors is an integer number (79124955).

Almost surely, 22193089508 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 2193089508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848498380).

2193089508 is an abundant number, since it is smaller than the sum of its proper divisors (3503907252).

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

2193089508 is a wasteful number, since it uses less digits than its factorization.

2193089508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2193089508 is about 46830.4335662185. The cubic root of 2193089508 is about 1299.2282417313.

The spelling of 2193089508 in words is "two billion, one hundred ninety-three million, eighty-nine thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 337 369 492 674 738 1011 1348 1476 2022 3033 4044 4409 6066 8818 12132 13227 13817 17636 26454 27634 39681 41451 52908 55268 79362 82902 124353 158724 165804 180769 248706 361538 497412 542307 723076 1084614 1485833 1626921 2169228 2971666 3253842 4457499 5943332 6507684 8914998 13372497 17829996 26744994 53489988 60919153 121838306 182757459 243676612 365514918 548272377 731029836 1096544754 2193089508