Search a number
-
+
2244014120 = 23556100353
BaseRepresentation
bin1000010111000000…
…1111000000101000
312210101111201200002
42011300033000220
514043431422440
61010401002132
7106415543135
oct20560170050
95711451602
102244014120
11a51762027
12527623348
13299ba230a
1417405758c
15d2013115
hex85c0f028

2244014120 has 16 divisors (see below), whose sum is σ = 5049031860. Its totient is φ = 897605632.

The previous prime is 2244014119. The next prime is 2244014131. The reversal of 2244014120 is 214104422.

It can be written as a sum of positive squares in 2 ways, for example, as 2055171556 + 188842564 = 45334^2 + 13742^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2244014092 and 2244014101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28050137 + ... + 28050216.

Almost surely, 22244014120 is an apocalyptic number.

2244014120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244014120 is an abundant number, since it is smaller than the sum of its proper divisors (2805017740).

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

2244014120 is a wasteful number, since it uses less digits than its factorization.

2244014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56100364 (or 56100360 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2244014120 is about 47371.0261657904. The cubic root of 2244014120 is about 1309.2076322398.

Adding to 2244014120 its reverse (214104422), we get a palindrome (2458118542).

The spelling of 2244014120 in words is "two billion, two hundred forty-four million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 56100353 112200706 224401412 280501765 448802824 561003530 1122007060 2244014120