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2242237428 = 2232292147737
BaseRepresentation
bin1000010110100101…
…1101001111110100
312210021011110111200
42011221131033310
514043003044203
61010254532500
7106364463234
oct20551351764
95707143450
102242237428
11a50759192
12526b07130
132996cc712
14173b13cc4
15d1cb19a3
hex85a5d3f4

2242237428 has 36 divisors (see below), whose sum is σ = 5863324740. Its totient is φ = 721639296.

The previous prime is 2242237421. The next prime is 2242237429. The reversal of 2242237428 is 8247322422.

2242237428 is a `hidden beast` number, since 2 + 2 + 4 + 223 + 7 + 428 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1412106084 + 830131344 = 37578^2 + 28812^2 .

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

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 = 2242237392 and 2242237401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242237421) 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 11 ways as a sum of consecutive naturals, for example, 1072825 + ... + 1074912.

Almost surely, 22242237428 is an apocalyptic number.

It is an amenable number.

2242237428 is an abundant number, since it is smaller than the sum of its proper divisors (3621087312).

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

2242237428 is a wasteful number, since it uses less digits than its factorization.

2242237428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147776 (or 2147771 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 2242237428 is about 47352.2695126643. The cubic root of 2242237428 is about 1308.8620204988.

The spelling of 2242237428 in words is "two billion, two hundred forty-two million, two hundred thirty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2147737 4295474 6443211 8590948 12886422 19329633 25772844 38659266 62284373 77318532 124568746 186853119 249137492 373706238 560559357 747412476 1121118714 2242237428