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2240927980 = 225415351563
BaseRepresentation
bin1000010110010001…
…1101100011101100
312210011200221021121
42011210131203230
514042134143410
61010210510324
7106350400504
oct20544354354
95704627247
102240927980
11a4aa443a5
125265953a4
132993616b5
14173892a04
15d1b039da
hex8591d8ec

2240927980 has 48 divisors (see below), whose sum is σ = 4911780384. Its totient is φ = 857991680.

The previous prime is 2240927971. The next prime is 2240927989. The reversal of 2240927980 is 897290422.

It is an interprime number because it is at equal distance from previous prime (2240927971) and next prime (2240927989).

It is not an unprimeable number, because it can be changed into a prime (2240927989) 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, 17679 + ... + 69241.

It is an arithmetic number, because the mean of its divisors is an integer number (102328758).

Almost surely, 22240927980 is an apocalyptic number.

2240927980 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 2240927980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455890192).

2240927980 is an abundant number, since it is smaller than the sum of its proper divisors (2670852404).

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

2240927980 is a wasteful number, since it uses less digits than its factorization.

2240927980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51666 (or 51664 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 2240927980 is about 47338.4408277248. The cubic root of 2240927980 is about 1308.6071827084.

The spelling of 2240927980 in words is "two billion, two hundred forty million, nine hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 8692 10865 21730 43460 51563 103126 206252 257815 515630 1031260 2114083 2732839 4228166 5465678 8456332 10570415 10931356 13664195 21140830 27328390 42281660 54656780 112046399 224092798 448185596 560231995 1120463990 2240927980