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2242040544 = 25327784863
BaseRepresentation
bin1000010110100010…
…1101001011100000
312210020210110102200
42011220231023200
514042430244134
61010250413200
7106363013232
oct20550551340
95706713380
102242040544
11a50634277
12526a31200
13299660c13
14173aa2252
15d1c73499
hex85a2d2e0

2242040544 has 36 divisors (see below), whose sum is σ = 6375803616. Its totient is φ = 747346752.

The previous prime is 2242040531. The next prime is 2242040551. The reversal of 2242040544 is 4450402422.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3892144 + ... + 3892719.

It is an arithmetic number, because the mean of its divisors is an integer number (177105656).

Almost surely, 22242040544 is an apocalyptic number.

2242040544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242040544 is an abundant number, since it is smaller than the sum of its proper divisors (4133763072).

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

2242040544 is a wasteful number, since it uses less digits than its factorization.

2242040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784879 (or 7784868 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2242040544 is about 47350.1905381594. The cubic root of 2242040544 is about 1308.8237103226.

Adding to 2242040544 its reverse (4450402422), we get a palindrome (6692442966).

The spelling of 2242040544 in words is "two billion, two hundred forty-two million, forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7784863 15569726 23354589 31139452 46709178 62278904 70063767 93418356 124557808 140127534 186836712 249115616 280255068 373673424 560510136 747346848 1121020272 2242040544