Search a number
-
+
227823230880 = 253657319001
BaseRepresentation
bin1101010000101101010…
…0101001111110100000
3210210001101121021000000
43110023110221332200
512213040221342010
6252354402300000
722313446340130
oct3241324517640
9723041537000
10227823230880
118868a302393
12381a1657600
13186397277bb
14b0533b8ac0
155dd5e1e7c0
hex350b529fa0

227823230880 has 672 divisors, whose sum is σ = 952118350848. Its totient is φ = 50388480000.

The previous prime is 227823230863. The next prime is 227823230881. The reversal of 227823230880 is 88032328722.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (227823230881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25306380 + ... + 25315380.

It is an arithmetic number, because the mean of its divisors is an integer number (1416842784).

Almost surely, 2227823230880 is an apocalyptic number.

227823230880 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 227823230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476059175424).

227823230880 is an abundant number, since it is smaller than the sum of its proper divisors (724295119968).

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

227823230880 is an equidigital number, since it uses as much as digits as its factorization.

227823230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9072 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 227823230880 in words is "two hundred twenty-seven billion, eight hundred twenty-three million, two hundred thirty thousand, eight hundred eighty".