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2242011240 = 233257889687
BaseRepresentation
bin1000010110100010…
…0110000001101000
312210020201222020100
42011220212001220
514042423324430
61010250025400
7106362531630
oct20550460150
95706658210
102242011240
11a50614257
12526a18260
13299650791
14173a956c0
15d1c69960
hex85a26068

2242011240 has 96 divisors (see below), whose sum is σ = 8327479680. Its totient is φ = 512459136.

The previous prime is 2242011209. The next prime is 2242011251. The reversal of 2242011240 is 421102422.

2242011240 is a `hidden beast` number, since 2 + 2 + 420 + 1 + 1 + 240 = 666.

It is a super-2 number, since 2×22420112402 = 10053228800572675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 442324 + ... + 447363.

It is an arithmetic number, because the mean of its divisors is an integer number (86744580).

Almost surely, 22242011240 is an apocalyptic number.

2242011240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242011240 is an abundant number, since it is smaller than the sum of its proper divisors (6085468440).

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

2242011240 is a wasteful number, since it uses less digits than its factorization.

2242011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889711 (or 889704 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2242011240 is about 47349.8810980556. The cubic root of 2242011240 is about 1308.8180080860.

Adding to 2242011240 its reverse (421102422), we get a palindrome (2663113662).

The spelling of 2242011240 in words is "two billion, two hundred forty-two million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 889687 1779374 2669061 3558748 4448435 5338122 6227809 7117496 8007183 8896870 10676244 12455618 13345305 16014366 17793740 18683427 21352488 24911236 26690610 31139045 32028732 35587480 37366854 40035915 49822472 53381220 56050281 62278090 64057464 74733708 80071830 93417135 106762440 112100562 124556180 149467416 160143660 186834270 224201124 249112360 280251405 320287320 373668540 448402248 560502810 747337080 1121005620 2242011240