Search a number
-
+
215122744320 = 21035112283409
BaseRepresentation
bin1100100001011001010…
…0001001010000000000
3202120021021101200201220
43020112110021100000
512011032410304240
6242454230555040
721353641104411
oct3102624112000
9676237350656
10215122744320
11832621a9900
1235838208a80
13173944132b3
14a5aa737808
1558e0e325d0
hex3216509400

215122744320 has 528 divisors, whose sum is σ = 760821754560. Its totient is φ = 51839631360.

The previous prime is 215122744313. The next prime is 215122744337. The reversal of 215122744320 is 23447221512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525972276 + ... + 525972684.

Almost surely, 2215122744320 is an apocalyptic number.

215122744320 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 215122744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380410877280).

215122744320 is an abundant number, since it is smaller than the sum of its proper divisors (545699010240).

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

215122744320 is a wasteful number, since it uses less digits than its factorization.

215122744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 215122744320 its reverse (23447221512), we get a palindrome (238569965832).

The spelling of 215122744320 in words is "two hundred fifteen billion, one hundred twenty-two million, seven hundred forty-four thousand, three hundred twenty".