Search a number
-
+
212274430656 = 26323474912083
BaseRepresentation
bin1100010110110010001…
…0101100001011000000
3202021220202210100221020
43011230202230023000
511434214223240111
6241303441425440
721223233614061
oct3055442541300
9667822710836
10212274430656
1182030422672
123518233b280
131702c29b3b2
14a3ba338568
1557c5d52906
hex316c8ac2c0

212274430656 has 224 divisors, whose sum is σ = 600038350848. Its totient is φ = 66075018240.

The previous prime is 212274430651. The next prime is 212274430691. The reversal of 212274430656 is 656034472212.

It is not an unprimeable number, because it can be changed into a prime (212274430651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101906991 + ... + 101909073.

Almost surely, 2212274430656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212274430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300019175424).

212274430656 is an abundant number, since it is smaller than the sum of its proper divisors (387763920192).

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

212274430656 is a wasteful number, since it uses less digits than its factorization.

212274430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 212274430656 in words is "two hundred twelve billion, two hundred seventy-four million, four hundred thirty thousand, six hundred fifty-six".