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2240763616 = 257137383127
BaseRepresentation
bin1000010110001111…
…0101011011100000
312210011101120211001
42011203311123200
514042113413431
61010203201344
7106346114350
oct20543653340
95704346731
102240763616
11a4a941963
12526516254
13299304940
1417384cb60
15d1abee61
hex858f56e0

2240763616 has 192 divisors, whose sum is σ = 5614092288. Its totient is φ = 856977408.

The previous prime is 2240763593. The next prime is 2240763631. The reversal of 2240763616 is 6163670422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17643745 + ... + 17643871.

It is an arithmetic number, because the mean of its divisors is an integer number (29240064).

Almost surely, 22240763616 is an apocalyptic number.

2240763616 is a gapful number since it is divisible by the number (26) 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 2240763616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807046144).

2240763616 is an abundant number, since it is smaller than the sum of its proper divisors (3373328672).

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

2240763616 is a wasteful number, since it uses less digits than its factorization.

2240763616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2240763616 is about 47336.7047437821. The cubic root of 2240763616 is about 1308.5751880509.

The spelling of 2240763616 in words is "two billion, two hundred forty million, seven hundred sixty-three thousand, six hundred sixteen".