Search a number
-
+
2244545000 = 23544110949
BaseRepresentation
bin1000010111001001…
…0000100111101000
312210102111200220022
42011302100213220
514044100420000
61010420220012
7106423213655
oct20562204750
95712450808
102244545000
11a51a94975
1252783a608
1329a029b49
14174154c2c
15d20ba585
hex85c909e8

2244545000 has 80 divisors (see below), whose sum is σ = 5387728500. Its totient is φ = 875840000.

The previous prime is 2244544933. The next prime is 2244545021. The reversal of 2244545000 is 5454422.

It can be written as a sum of positive squares in 10 ways, for example, as 1252168996 + 992376004 = 35386^2 + 31502^2 .

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, 199526 + ... + 210474.

Almost surely, 22244545000 is an apocalyptic number.

2244545000 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 2244545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693864250).

2244545000 is an abundant number, since it is smaller than the sum of its proper divisors (3143183500).

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

2244545000 is a wasteful number, since it uses less digits than its factorization.

2244545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2244545000 is about 47376.6292595833. The cubic root of 2244545000 is about 1309.3108664900.

Adding to 2244545000 its reverse (5454422), we get a palindrome (2249999422).

The spelling of 2244545000 in words is "two billion, two hundred forty-four million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 2050 2500 4100 5000 5125 8200 10250 10949 20500 21898 25625 41000 43796 51250 54745 87592 102500 109490 205000 218980 273725 437960 448909 547450 897818 1094900 1368625 1795636 2189800 2244545 2737250 3591272 4489090 5474500 6843125 8978180 10949000 11222725 13686250 17956360 22445450 27372500 44890900 54745000 56113625 89781800 112227250 224454500 280568125 448909000 561136250 1122272500 2244545000