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2242220440 = 235173297383
BaseRepresentation
bin1000010110100101…
…1001000110011000
312210021010121012111
42011221121012120
514043002023230
61010254322104
7106364362555
oct20551310630
95707117174
102242220440
11a50747449
12526ab9334
132996c4a75
14173b0ba2c
15d1cab92a
hex85a59198

2242220440 has 32 divisors (see below), whose sum is σ = 5341762080. Its totient is φ = 844129792.

The previous prime is 2242220411. The next prime is 2242220441. The reversal of 2242220440 is 440222422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242220441) 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, 1648012 + ... + 1649371.

It is an arithmetic number, because the mean of its divisors is an integer number (166930065).

Almost surely, 22242220440 is an apocalyptic number.

2242220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242220440 is an abundant number, since it is smaller than the sum of its proper divisors (3099541640).

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

2242220440 is a wasteful number, since it uses less digits than its factorization.

2242220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297411 (or 3297407 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2242220440 is about 47352.0901333827. The cubic root of 2242220440 is about 1308.8587150201.

Adding to 2242220440 its reverse (440222422), we get a palindrome (2682442862).

The spelling of 2242220440 in words is "two billion, two hundred forty-two million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3297383 6594766 13189532 16486915 26379064 32973830 56055511 65947660 112111022 131895320 224222044 280277555 448444088 560555110 1121110220 2242220440