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2264308966320 = 2435316122921787
BaseRepresentation
bin100000111100110011010…
…101001110001110110000
322000110120120210111202220
4200330303111032032300
5244044301043410240
64452113103241040
7322406454435552
oct40746325161660
98013516714686
102264308966320
117a3319421235
12306a085a9180
131356a5c4c12b
147b8438034d2
153dd7710a5d0
hex20f3354e3b0

2264308966320 has 320 divisors, whose sum is σ = 7397071319040. Its totient is φ = 572222361600.

The previous prime is 2264308966303. The next prime is 2264308966333. The reversal of 2264308966320 is 236698034622.

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, 103918467 + ... + 103940253.

It is an arithmetic number, because the mean of its divisors is an integer number (23115847872).

Almost surely, 22264308966320 is an apocalyptic number.

2264308966320 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 2264308966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698535659520).

2264308966320 is an abundant number, since it is smaller than the sum of its proper divisors (5132762352720).

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

2264308966320 is a wasteful number, since it uses less digits than its factorization.

2264308966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22124 (or 22118 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 2264308966320 in words is "two trillion, two hundred sixty-four billion, three hundred eight million, nine hundred sixty-six thousand, three hundred twenty".