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2187334296 = 233274918839
BaseRepresentation
bin1000001001100000…
…0001001010011000
312122102212002120100
42002120001022120
513434424144141
61001014055400
7105130014630
oct20230011230
95572762510
102187334296
11a227696a4
1251064a560
1328b218664
1416a7016c0
15cc0690b6
hex82601298

2187334296 has 96 divisors (see below), whose sum is σ = 6784876800. Its totient is φ = 623609280.

The previous prime is 2187334271. The next prime is 2187334307. The reversal of 2187334296 is 6924337812.

2187334296 is a `hidden beast` number, since 21 + 8 + 7 + 334 + 296 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243045 + ... + 251883.

It is an arithmetic number, because the mean of its divisors is an integer number (70675800).

Almost surely, 22187334296 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 2187334296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392438400).

2187334296 is an abundant number, since it is smaller than the sum of its proper divisors (4597542504).

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

2187334296 is a wasteful number, since it uses less digits than its factorization.

2187334296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9342 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2187334296 is about 46768.9458508528. The cubic root of 2187334296 is about 1298.0907468430.

It can be divided in two parts, 21873 and 34296, that added together give a square (56169 = 2372).

The spelling of 2187334296 in words is "two billion, one hundred eighty-seven million, three hundred thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 491 504 982 1473 1964 2946 3437 3928 4419 5892 6874 8838 8839 10311 11784 13748 17676 17678 20622 26517 27496 30933 35352 35356 41244 53034 61866 61873 70712 79551 82488 106068 123732 123746 159102 185619 212136 247464 247492 318204 371238 494984 556857 636408 742476 1113714 1484952 2227428 4339949 4454856 8679898 13019847 17359796 26039694 30379643 34719592 39059541 52079388 60759286 78119082 91138929 104158776 121518572 156238164 182277858 243037144 273416787 312476328 364555716 546833574 729111432 1093667148 2187334296