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2244058128 = 243313399583
BaseRepresentation
bin1000010111000001…
…1001110000010000
312210101120222001000
42011300121300100
514043434330003
61010401542000
7106416115344
oct20560316020
95711528030
102244058128
11a517920a4
12527644900
13299bb9360
14174069624
15d20211a3
hex85c19c10

2244058128 has 80 divisors (see below), whose sum is σ = 6936778240. Its totient is φ = 690477696.

The previous prime is 2244058127. The next prime is 2244058133. The reversal of 2244058128 is 8218504422.

2244058128 is a `hidden beast` number, since 224 + 405 + 8 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2244058092 and 2244058101.

It is not an unprimeable number, because it can be changed into a prime (2244058127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194176 + ... + 205407.

It is an arithmetic number, because the mean of its divisors is an integer number (86709728).

Almost surely, 22244058128 is an apocalyptic number.

It is an amenable number.

2244058128 is an abundant number, since it is smaller than the sum of its proper divisors (4692720112).

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

2244058128 is a wasteful number, since it uses less digits than its factorization.

2244058128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399613 (or 399601 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2244058128 is about 47371.4906668557. The cubic root of 2244058128 is about 1309.2161905984.

The spelling of 2244058128 in words is "two billion, two hundred forty-four million, fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 399583 799166 1198749 1598332 2397498 3196664 3596247 4794996 5194579 6393328 7192494 9589992 10389158 10788741 14384988 15583737 19179984 20778316 21577482 28769976 31167474 41556632 43154964 46751211 57539952 62334948 83113264 86309928 93502422 124669896 140253633 172619856 187004844 249339792 280507266 374009688 561014532 748019376 1122029064 2244058128