Search a number
-
+
2189309120 = 2656919901
BaseRepresentation
bin1000001001111110…
…0011010011000000
312122120120102111222
42002133203103000
513440430342440
61001124254212
7105152551265
oct20237432300
95576512458
102189309120
11a23898389
12511241368
1328b75a4ab
1416aa9726c
15cc3092b5
hex827e34c0

2189309120 has 56 divisors (see below), whose sum is σ = 5221364208. Its totient is φ = 874368000.

The previous prime is 2189309117. The next prime is 2189309141. The reversal of 2189309120 is 219039812.

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 7 ways as a sum of consecutive naturals, for example, 216170 + ... + 226070.

Almost surely, 22189309120 is an apocalyptic number.

2189309120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610682104).

2189309120 is an abundant number, since it is smaller than the sum of its proper divisors (3032055088).

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

2189309120 is an equidigital number, since it uses as much as digits as its factorization.

2189309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2189309120 is about 46790.0536439103. The cubic root of 2189309120 is about 1298.4812876139.

The spelling of 2189309120 in words is "two billion, one hundred eighty-nine million, three hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 691 1382 2764 3455 5528 6910 9901 11056 13820 19802 22112 27640 39604 44224 49505 55280 79208 99010 110560 158416 198020 221120 316832 396040 633664 792080 1584160 3168320 6841591 13683182 27366364 34207955 54732728 68415910 109465456 136831820 218930912 273663640 437861824 547327280 1094654560 2189309120