Search a number
-
+
215052312420 = 2235511232937163
BaseRepresentation
bin1100100001001000011…
…1011101111101100100
3202120002100212101100000
43020102013131331210
512010411342444140
6242443233221300
721352124331531
oct3102207357544
9676070771300
10215052312420
1183226473320
1235818701830
131738295300a
14a5a1241d88
1558d9b6da30
hex32121ddf64

215052312420 has 1152 divisors, whose sum is σ = 823174410240. Its totient is φ = 46558955520.

The previous prime is 215052312407. The next prime is 215052312427. The reversal of 215052312420 is 24213250512.

215052312420 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 5 + 231 + 2 + 420 = 666.

215052312420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (215052312427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1319339259 + ... + 1319339421.

It is an arithmetic number, because the mean of its divisors is an integer number (714561120).

Almost surely, 2215052312420 is an apocalyptic number.

215052312420 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 215052312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411587205120).

215052312420 is an abundant number, since it is smaller than the sum of its proper divisors (608122097820).

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

215052312420 is a wasteful number, since it uses less digits than its factorization.

215052312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 215052312420 its reverse (24213250512), we get a palindrome (239265562932).

The spelling of 215052312420 in words is "two hundred fifteen billion, fifty-two million, three hundred twelve thousand, four hundred twenty".