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2242210240 = 26517412171
BaseRepresentation
bin1000010110100101…
…0110100111000000
312210021010002012201
42011221112213000
514043001211430
61010254202544
7106364321044
oct20551264700
95707102181
102242210240
11a5073a816
12526ab3454
132996c022a
14173b08024
15d1ca88ca
hex85a569c0

2242210240 has 56 divisors (see below), whose sum is σ = 5653351152. Its totient is φ = 844124160.

The previous prime is 2242210231. The next prime is 2242210241. The reversal of 2242210240 is 420122422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242210241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 200646 + ... + 211525.

Almost surely, 22242210240 is an apocalyptic number.

2242210240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242210240 is an abundant number, since it is smaller than the sum of its proper divisors (3411140912).

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

2242210240 is a wasteful number, since it uses less digits than its factorization.

2242210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412205 (or 412195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2242210240 is about 47351.9824294612. The cubic root of 2242210240 is about 1308.8567303239.

Adding to 2242210240 its reverse (420122422), we get a palindrome (2662332662).

The spelling of 2242210240 in words is "two billion, two hundred forty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 412171 824342 1648684 2060855 3297368 4121710 6594736 7006907 8243420 13189472 14013814 16486840 26378944 28027628 32973680 35034535 56055256 65947360 70069070 112110512 131894720 140138140 224221024 280276280 448442048 560552560 1121105120 2242210240