Search a number
-
+
2188939104 = 253211690953
BaseRepresentation
bin1000001001111000…
…1000111101100000
312122112212121221200
42002132020331200
513440332022404
61001112321200
7105146450442
oct20236107540
95575777850
102188939104
11a23665390
125110a3200
1328b65ac51
1416a9dc492
15cc284839
hex82788f60

2188939104 has 72 divisors (see below), whose sum is σ = 6790695912. Its totient is φ = 663313920.

The previous prime is 2188939097. The next prime is 2188939133. The reversal of 2188939104 is 4019398812.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2188939104.

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 11 ways as a sum of consecutive naturals, for example, 342309 + ... + 348644.

It is an arithmetic number, because the mean of its divisors is an integer number (94315221).

Almost surely, 22188939104 is an apocalyptic number.

2188939104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2188939104 is an abundant number, since it is smaller than the sum of its proper divisors (4601756808).

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

2188939104 is a wasteful number, since it uses less digits than its factorization.

2188939104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690980 (or 690969 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2188939104 is about 46786.0994740959. The cubic root of 2188939104 is about 1298.4081312137.

The spelling of 2188939104 in words is "two billion, one hundred eighty-eight million, nine hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 690953 1381906 2072859 2763812 4145718 5527624 6218577 7600483 8291436 11055248 12437154 15200966 16582872 22110496 22801449 24874308 30401932 33165744 45602898 49748616 60803864 66331488 68404347 91205796 99497232 121607728 136808694 182411592 198994464 243215456 273617388 364823184 547234776 729646368 1094469552 2188939104