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2214159983640 = 2335511217374173
BaseRepresentation
bin100000001110000110001…
…110000010010000011000
321211200010121122020100000
4200032012032002100120
5242234044423434030
64413100540413000
7315652643221143
oct40160616022030
97750117566300
102214159983640
11784024651300
122b9151847160
13130a43378597
14792473b105a
153c8de637860
hex20386382418

2214159983640 has 2304 divisors, whose sum is σ = 9262594373760. Its totient is φ = 472979865600.

The previous prime is 2214159983621. The next prime is 2214159983641. The reversal of 2214159983640 is 463899514122.

It is a happy number.

2214159983640 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 599 + 8 + 3 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214159983641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 30330958644 + ... + 30330958716.

Almost surely, 22214159983640 is an apocalyptic number.

2214159983640 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 2214159983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631297186880).

2214159983640 is an abundant number, since it is smaller than the sum of its proper divisors (7048434390120).

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

2214159983640 is a wasteful number, since it uses less digits than its factorization.

2214159983640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2214159983640 in words is "two trillion, two hundred fourteen billion, one hundred fifty-nine million, nine hundred eighty-three thousand, six hundred forty".