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2242341240 = 2335199710139
BaseRepresentation
bin1000010110100111…
…0110100101111000
312210021100201220120
42011221312211320
514043014404430
61010301053240
7106365405006
oct20551664570
95707321816
102242341240
11a5081a187
12526b57220
13299737a49
14173b3da76
15d1cd2610
hex85a76978

2242341240 has 128 divisors (see below), whose sum is σ = 7154784000. Its totient is φ = 560590848.

The previous prime is 2242341239. The next prime is 2242341247. The reversal of 2242341240 is 421432422.

2242341240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2242341240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242341247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216091 + ... + 226229.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 22242341240 is an apocalyptic number.

2242341240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392000).

2242341240 is an abundant number, since it is smaller than the sum of its proper divisors (4912442760).

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

2242341240 is a wasteful number, since it uses less digits than its factorization.

2242341240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2242341240 is about 47353.3656670780. The cubic root of 2242341240 is about 1308.8822195919.

Adding to 2242341240 its reverse (421432422), we get a palindrome (2663773662).

The spelling of 2242341240 in words is "two billion, two hundred forty-two million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 97 114 120 152 190 194 228 285 291 380 388 456 485 570 582 760 776 970 1140 1164 1455 1843 1940 2280 2328 2910 3686 3880 5529 5820 7372 9215 10139 11058 11640 14744 18430 20278 22116 27645 30417 36860 40556 44232 50695 55290 60834 73720 81112 101390 110580 121668 152085 192641 202780 221160 243336 304170 385282 405560 577923 608340 770564 963205 983483 1155846 1216680 1541128 1926410 1966966 2311692 2889615 2950449 3852820 3933932 4623384 4917415 5779230 5900898 7705640 7867864 9834830 11558460 11801796 14752245 18686177 19669660 23116920 23603592 29504490 37372354 39339320 56058531 59008980 74744708 93430885 112117062 118017960 149489416 186861770 224234124 280292655 373723540 448468248 560585310 747447080 1121170620 2242341240