Search a number
-
+
227317213632 = 2632924792939
BaseRepresentation
bin1101001110110100101…
…0010110100111000000
3210201202010102220211110
43103231022112213000
512211021201314012
6252232244443320
722265063302155
oct3235512264700
9721663386743
10227317213632
118844a706113
12380800a9540
1318588946902
14b0060d822c
155da67b873c
hex34ed2969c0

227317213632 has 168 divisors, whose sum is σ = 624410841600. Its totient is φ = 72981988352.

The previous prime is 227317213631. The next prime is 227317213637. The reversal of 227317213632 is 236312713722.

227317213632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2273172136322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227317213631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77343619 + ... + 77346557.

It is an arithmetic number, because the mean of its divisors is an integer number (3716731200).

Almost surely, 2227317213632 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 227317213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312205420800).

227317213632 is an abundant number, since it is smaller than the sum of its proper divisors (397093627968).

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

227317213632 is a wasteful number, since it uses less digits than its factorization.

227317213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3452 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The spelling of 227317213632 in words is "two hundred twenty-seven billion, three hundred seventeen million, two hundred thirteen thousand, six hundred thirty-two".