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2273365440 = 26345229383
BaseRepresentation
bin1000011110000000…
…1100110111000000
312212102201221010000
42013200030313000
514123440143230
61013330040000
7110223200403
oct20740146700
95772657100
102273365440
11a6728a115
12535419000
132a2caac68
14177cd7d3a
15d48aeb60
hex8780cdc0

2273365440 has 280 divisors, whose sum is σ = 8143280640. Its totient is φ = 602007552.

The previous prime is 2273365387. The next prime is 2273365441. The reversal of 2273365440 is 445633722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2273365395 and 2273365404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273365441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5935489 + ... + 5935871.

Almost surely, 22273365440 is an apocalyptic number.

2273365440 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 2273365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071640320).

2273365440 is an abundant number, since it is smaller than the sum of its proper divisors (5869915200).

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

2273365440 is a wasteful number, since it uses less digits than its factorization.

2273365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2273365440 is about 47679.8221473193. The cubic root of 2273365440 is about 1314.8909951234.

The spelling of 2273365440 in words is "two billion, two hundred seventy-three million, three hundred sixty-five thousand, four hundred forty".