Search a number
-
+
2212740840960 = 29345132389401
BaseRepresentation
bin100000001100110001101…
…000011011111000000000
321211112110201021022120000
4200030301220123320000
5242223143123402320
64412304043320000
7315602531550006
oct40146150337000
97745421238500
102212740840960
11783466578411
122b8a16520000
131308783569a0
1479150b18a76
153c859c60c90
hex20331a1be00

2212740840960 has 1600 divisors, whose sum is σ = 9028593383040. Its totient is φ = 513854668800.

The previous prime is 2212740840949. The next prime is 2212740841001. The reversal of 2212740840960 is 690480472122.

2212740840960 is a `hidden beast` number, since 22 + 127 + 40 + 8 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5518056760 + ... + 5518057160.

Almost surely, 22212740840960 is an apocalyptic number.

2212740840960 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 2212740840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514296691520).

2212740840960 is an abundant number, since it is smaller than the sum of its proper divisors (6815852542080).

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

2212740840960 is a wasteful number, since it uses less digits than its factorization.

2212740840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2212740840960 in words is "two trillion, two hundred twelve billion, seven hundred forty million, eight hundred forty thousand, nine hundred sixty".