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2242032240 = 243572190649
BaseRepresentation
bin1000010110100010…
…1011001001110000
312210020210001001010
42011220223021300
514042430012430
61010250310520
7106362650100
oct20550531160
95706701033
102242032240
11a50629008
12526a28440
1329965a1c6
14173a9d200
15d1c70cb0
hex85a2b270

2242032240 has 120 divisors (see below), whose sum is σ = 8085085200. Its totient is φ = 512461824.

The previous prime is 2242032229. The next prime is 2242032259. The reversal of 2242032240 is 422302422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83565 + ... + 107084.

It is an arithmetic number, because the mean of its divisors is an integer number (67375710).

Almost surely, 22242032240 is an apocalyptic number.

2242032240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242032240 is an abundant number, since it is smaller than the sum of its proper divisors (5843052960).

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

2242032240 is a wasteful number, since it uses less digits than its factorization.

2242032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190679 (or 190666 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2242032240 is about 47350.1028509971. The cubic root of 2242032240 is about 1308.8220944605.

Adding to 2242032240 its reverse (422302422), we get a palindrome (2664334662).

The spelling of 2242032240 in words is "two billion, two hundred forty-two million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 190649 381298 571947 762596 953245 1143894 1334543 1525192 1906490 2287788 2669086 2859735 3050384 3812980 4003629 4575576 5338172 5719470 6672715 7625960 8007258 9151152 9341801 10676344 11438940 13345430 15251920 16014516 18683602 20018145 21352688 22877880 26690860 28025403 32029032 37367204 40036290 45755760 46709005 53381720 56050806 64058064 74734408 80072580 93418010 106763440 112101612 140127015 149468816 160145160 186836020 224203224 280254030 320290320 373672040 448406448 560508060 747344080 1121016120 2242032240