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2233414144 = 2913347967
BaseRepresentation
bin1000010100011111…
…0011001000000000
312202122120012020101
42011013303020000
514033223223034
61005341452144
7106226464333
oct20507631000
95678505211
102233414144
11a46782115
12523b71054
13297930640
1417289861a
15d111c514
hex851f3200

2233414144 has 80 divisors (see below), whose sum is σ = 4824566208. Its totient is φ = 1026772992.

The previous prime is 2233414097. The next prime is 2233414171. The reversal of 2233414144 is 4414143322.

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 7 ways as a sum of consecutive naturals, for example, 2309149 + ... + 2310115.

Almost surely, 22233414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412283104).

2233414144 is an abundant number, since it is smaller than the sum of its proper divisors (2591152064).

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

2233414144 is an equidigital number, since it uses as much as digits as its factorization.

2233414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1329 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2233414144 is about 47259.0112465337. The cubic root of 2233414144 is about 1307.1429574698.

Adding to 2233414144 its reverse (4414143322), we get a palindrome (6647557466).

The spelling of 2233414144 in words is "two billion, two hundred thirty-three million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 347 416 512 694 832 967 1388 1664 1934 2776 3328 3868 4511 5552 6656 7736 9022 11104 12571 15472 18044 22208 25142 30944 36088 44416 50284 61888 72176 88832 100568 123776 144352 177664 201136 247552 288704 335549 402272 495104 577408 671098 804544 1154816 1342196 1609088 2309632 2684392 3218176 4362137 5368784 6436352 8724274 10737568 17448548 21475136 34897096 42950272 69794192 85900544 139588384 171801088 279176768 558353536 1116707072 2233414144