Search a number
-
+
215062231680 = 2738551217
BaseRepresentation
bin1100100001001010110…
…1010011101010000000
3202120010001112100000000
43020102231103222000
512010421412403210
6242444230000000
721352304543622
oct3102255235200
9676101470000
10215062231680
118323102885a
123581baa6000
1317384a16bba
14a5a26a4c12
1558da97cac0
hex3212b53a80

215062231680 has 288 divisors, whose sum is σ = 771175597140. Its totient is φ = 57348808704.

The previous prime is 215062231679. The next prime is 215062231691. The reversal of 215062231680 is 86132260512.

215062231680 is a `hidden beast` number, since 2 + 15 + 0 + 622 + 3 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209888594496 + 5173637184 = 458136^2 + 71928^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4173432 + ... + 4224648.

Almost surely, 2215062231680 is an apocalyptic number.

215062231680 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 215062231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385587798570).

215062231680 is an abundant number, since it is smaller than the sum of its proper divisors (556113365460).

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

215062231680 is an frugal number, since it uses more digits than its factorization.

215062231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51260 (or 51227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 215062231680 in words is "two hundred fifteen billion, sixty-two million, two hundred thirty-one thousand, six hundred eighty".