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2242144240 = 245714992671
BaseRepresentation
bin1000010110100100…
…0110011111110000
312210020222201200021
42011221012133300
514042442103430
61010252533224
7106363624450
oct20551063760
95706881607
102242144240
11a506a5176
12526a81214
1329969918b
14173acbd60
15d1c9407a
hex85a467f0

2242144240 has 80 divisors (see below), whose sum is σ = 5963904000. Its totient is φ = 767934720.

The previous prime is 2242144231. The next prime is 2242144253. The reversal of 2242144240 is 424412422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838105 + ... + 840775.

It is an arithmetic number, because the mean of its divisors is an integer number (74548800).

Almost surely, 22242144240 is an apocalyptic number.

2242144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242144240 is an abundant number, since it is smaller than the sum of its proper divisors (3721759760).

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

2242144240 is a wasteful number, since it uses less digits than its factorization.

2242144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 2242144240 is about 47351.2855158126. The cubic root of 2242144240 is about 1308.8438880266.

Adding to 2242144240 its reverse (424412422), we get a palindrome (2666556662).

The spelling of 2242144240 in words is "two billion, two hundred forty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1499 2671 2998 5342 5996 7495 10493 10684 11992 13355 14990 18697 20986 21368 23984 26710 29980 37394 41972 42736 52465 53420 59960 74788 83944 93485 104930 106840 119920 149576 167888 186970 209860 213680 299152 373940 419720 747880 839440 1495760 4003829 8007658 16015316 20019145 28026803 32030632 40038290 56053606 64061264 80076580 112107212 140134015 160153160 224214424 280268030 320306320 448428848 560536060 1121072120 2242144240