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2242113144 = 233574316267
BaseRepresentation
bin1000010110100011…
…1110111001111000
312210020221011000120
42011220332321320
514042440110034
61010252133240
7106363435005
oct20550767170
95706834016
102242113144
11a50683877
12526a67220
13299687c8b
14173ac08ac
15d1c89c49
hex85a3ee78

2242113144 has 32 divisors (see below), whose sum is σ = 5606603520. Its totient is φ = 747194976.

The previous prime is 2242113089. The next prime is 2242113149. The reversal of 2242113144 is 4413112422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242113149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129699 + ... + 145965.

It is an arithmetic number, because the mean of its divisors is an integer number (175206360).

Almost surely, 22242113144 is an apocalyptic number.

2242113144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242113144 is an abundant number, since it is smaller than the sum of its proper divisors (3364490376).

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

2242113144 is a wasteful number, since it uses less digits than its factorization.

2242113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22019 (or 22015 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2242113144 is about 47350.9571603363. The cubic root of 2242113144 is about 1308.8378372714.

Adding to 2242113144 its reverse (4413112422), we get a palindrome (6655225566).

The spelling of 2242113144 in words is "two billion, two hundred forty-two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 5743 11486 16267 17229 22972 32534 34458 45944 48801 65068 68916 97602 130136 137832 195204 390408 93421381 186842762 280264143 373685524 560528286 747371048 1121056572 2242113144