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2273312334240 = 2533512714927809
BaseRepresentation
bin100001000101001011111…
…110010110000110100000
322001022211001012222201000
4201011023332112012200
5244221220424143430
64500202324512000
7323145541004613
oct41051376260640
98038731188630
102273312334240
117a7119602872
123086bb84b600
131364ac30b37c
147c05945417a
153e20274ee60
hex2114bf961a0

2273312334240 has 384 divisors, whose sum is σ = 8073354240000. Its totient is φ = 597385248768.

The previous prime is 2273312334157. The next prime is 2273312334257. The reversal of 2273312334240 is 424332133722.

2273312334240 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 312 + 334 + 2 + 4 + 0 = 666.

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 = 2273312334195 and 2273312334204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81733456 + ... + 81761264.

It is an arithmetic number, because the mean of its divisors is an integer number (21024360000).

Almost surely, 22273312334240 is an apocalyptic number.

2273312334240 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 2273312334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036677120000).

2273312334240 is an abundant number, since it is smaller than the sum of its proper divisors (5800041905760).

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

2273312334240 is a wasteful number, since it uses less digits than its factorization.

2273312334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28109 (or 28095 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 2273312334240 its reverse (424332133722), we get a palindrome (2697644467962).

The spelling of 2273312334240 in words is "two trillion, two hundred seventy-three billion, three hundred twelve million, three hundred thirty-four thousand, two hundred forty".