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2236800096 = 25341376299
BaseRepresentation
bin1000010101010010…
…1101110001100000
312202212221012220000
42011110231301200
514040110100341
61005542220000
7106300326036
oct20524556140
95685835800
102236800096
11a48685023
12525124600
1329854786b
141730da556
15d158a8b6
hex8552dc60

2236800096 has 120 divisors (see below), whose sum is σ = 6627436200. Its totient is φ = 740040192.

The previous prime is 2236800089. The next prime is 2236800127. The reversal of 2236800096 is 6900086322.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2236800096.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 351955 + ... + 358253.

It is an arithmetic number, because the mean of its divisors is an integer number (55228635).

Almost surely, 22236800096 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 2236800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313718100).

2236800096 is an abundant number, since it is smaller than the sum of its proper divisors (4390636104).

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

2236800096 is a wasteful number, since it uses less digits than its factorization.

2236800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2236800096 is about 47294.8210272541. The cubic root of 2236800096 is about 1307.8031856045.

The spelling of 2236800096 in words is "two billion, two hundred thirty-six million, eight hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 274 288 324 411 432 548 648 822 864 1096 1233 1296 1644 2192 2466 2592 3288 3699 4384 4932 6299 6576 7398 9864 11097 12598 13152 14796 18897 19728 22194 25196 29592 37794 39456 44388 50392 56691 59184 75588 88776 100784 113382 118368 151176 170073 177552 201568 226764 302352 340146 355104 453528 510219 604704 680292 862963 907056 1020438 1360584 1725926 1814112 2040876 2588889 2721168 3451852 4081752 5177778 5442336 6903704 7766667 8163504 10355556 13807408 15533334 16327008 20711112 23300001 27614816 31066668 41422224 46600002 62133336 69900003 82844448 93200004 124266672 139800006 186400008 248533344 279600012 372800016 559200024 745600032 1118400048 2236800096