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2093712192 = 2633111337229
BaseRepresentation
bin111110011001011…
…1000001101000000
312101220200121012000
41330302320031000
513241442242232
6543431304000
7102612155115
oct17462701500
95356617160
102093712192
11984933a60
124a521b000
132749c8b70
1415c0d090c
15c3c2427c
hex7ccb8340

2093712192 has 448 divisors, whose sum is σ = 7459065600. Its totient is φ = 567336960.

The previous prime is 2093712169. The next prime is 2093712199. The reversal of 2093712192 is 2912173902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093712199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9142734 + ... + 9142962.

It is an arithmetic number, because the mean of its divisors is an integer number (16649700).

Almost surely, 22093712192 is an apocalyptic number.

2093712192 is a gapful number since it is divisible by the number (22) 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 2093712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729532800).

2093712192 is an abundant number, since it is smaller than the sum of its proper divisors (5365353408).

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

2093712192 is a wasteful number, since it uses less digits than its factorization.

2093712192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2093712192 is about 45757.0999081017. The cubic root of 2093712192 is about 1279.2997862944.

The spelling of 2093712192 in words is "two billion, ninety-three million, seven hundred twelve thousand, one hundred ninety-two".