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2240789232 = 2431110142019
BaseRepresentation
bin1000010110001111…
…1011101011110000
312210011102212221210
42011203323223300
514042120223412
61010203520120
7106346252133
oct20543735360
95704385853
102240789232
11a4a95a130
12526529040
132993134b6
1417385821a
15d1ac783c
hex858fbaf0

2240789232 has 80 divisors (see below), whose sum is σ = 6377627520. Its totient is φ = 672288000.

The previous prime is 2240789179. The next prime is 2240789267. The reversal of 2240789232 is 2329870422.

It is a super-2 number, since 2×22407892322 = 10042272764494299648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32319 + ... + 74337.

It is an arithmetic number, because the mean of its divisors is an integer number (79720344).

Almost surely, 22240789232 is an apocalyptic number.

2240789232 is a gapful number since it is divisible by the number (22) 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 2240789232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188813760).

2240789232 is an abundant number, since it is smaller than the sum of its proper divisors (4136838288).

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

2240789232 is a wasteful number, since it uses less digits than its factorization.

2240789232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42142 (or 42136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2240789232 is about 47336.9753152860. The cubic root of 2240789232 is about 1308.5801744960.

The spelling of 2240789232 in words is "two billion, two hundred forty million, seven hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 42019 53328 84038 126057 168076 252114 336152 462209 504228 672304 924418 1008456 1386627 1848836 2016912 2773254 3697672 4243919 5546508 7395344 8487838 11093016 12731757 16975676 22186032 25463514 33951352 46683109 50927028 67902704 93366218 101854056 140049327 186732436 203708112 280098654 373464872 560197308 746929744 1120394616 2240789232