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2140226160660 = 2233571966145083
BaseRepresentation
bin11111001001001111011…
…010111000100000010100
321120121022001002212211000
4133021033122320200110
5240031140344120120
64315112322143300
7310424541126630
oct37111732704024
97517261085730
102140226160660
11755734965865
122a69594b1b30
13126a8cc3cc33
147583214ddc0
153aa139c4990
hex1f24f6b8814

2140226160660 has 384 divisors, whose sum is σ = 8022499430400. Its totient is φ = 462736074240.

The previous prime is 2140226160629. The next prime is 2140226160769. The reversal of 2140226160660 is 660616220412.

2140226160660 is a `hidden beast` number, since 2 + 1 + 40 + 2 + 2 + 6 + 1 + 606 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47450479 + ... + 47495561.

It is an arithmetic number, because the mean of its divisors is an integer number (20891925600).

Almost surely, 22140226160660 is an apocalyptic number.

2140226160660 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 2140226160660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011249715200).

2140226160660 is an abundant number, since it is smaller than the sum of its proper divisors (5882273269740).

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

2140226160660 is a wasteful number, since it uses less digits than its factorization.

2140226160660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45788 (or 45780 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2140226160660 in words is "two trillion, one hundred forty billion, two hundred twenty-six million, one hundred sixty thousand, six hundred sixty".