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2240012352 = 26353251877
BaseRepresentation
bin1000010110000011…
…1110000001000000
312210002222102021110
42011200332001000
514041420343402
61010135123320
7106336535154
oct20540760100
95702872243
102240012352
11a4a479486
12526213540
132991009c6
141736d5064
15d19c256c
hex8583e040

2240012352 has 112 divisors (see below), whose sum is σ = 6069494592. Its totient is φ = 728832000.

The previous prime is 2240012351. The next prime is 2240012381. The reversal of 2240012352 is 2532100422.

It is a super-2 number, since 2×22400123522 = 10035310674225143808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2240012351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553738 + ... + 2554614.

It is an arithmetic number, because the mean of its divisors is an integer number (54191916).

Almost surely, 22240012352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034747296).

2240012352 is an abundant number, since it is smaller than the sum of its proper divisors (3829482240).

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

2240012352 is a wasteful number, since it uses less digits than its factorization.

2240012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2240012352 is about 47328.7687564340. The cubic root of 2240012352 is about 1308.4289290836.

Adding to 2240012352 its reverse (2532100422), we get a palindrome (4772112774).

The spelling of 2240012352 in words is "two billion, two hundred forty million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 251 318 424 502 636 753 848 877 1004 1272 1506 1696 1754 2008 2544 2631 3012 3392 3508 4016 5088 5262 6024 7016 8032 10176 10524 12048 13303 14032 16064 21048 24096 26606 28064 39909 42096 46481 48192 53212 56128 79818 84192 92962 106424 139443 159636 168384 185924 212848 220127 278886 319272 371848 425696 440254 557772 638544 660381 743696 851392 880508 1115544 1277088 1320762 1487392 1761016 2231088 2554176 2641524 2974784 3522032 4462176 5283048 7044064 8924352 10566096 11666731 14088128 21132192 23333462 35000193 42264384 46666924 70000386 93333848 140000772 186667696 280001544 373335392 560003088 746670784 1120006176 2240012352