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2231463168 = 2836111087
BaseRepresentation
bin1000010100000001…
…0110110100000000
312202111220002000000
42011000112310000
514032223310133
61005232000000
7106204060344
oct20500266400
95674802000
102231463168
11a4566a340
12523390000
132973c960c
1417250b624
15d0d84413
hex85016d00

2231463168 has 252 divisors, whose sum is σ = 7292076288. Its totient is φ = 675578880.

The previous prime is 2231463167. The next prime is 2231463193. The reversal of 2231463168 is 8613641322.

2231463168 is a `hidden beast` number, since 2 + 2 + 3 + 14 + 631 + 6 + 8 = 666.

It is a super-3 number, since 3×22314631683 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231463167) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2052321 + ... + 2053407.

Almost surely, 22231463168 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 2231463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646038144).

2231463168 is an abundant number, since it is smaller than the sum of its proper divisors (5060613120).

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

2231463168 is an equidigital number, since it uses as much as digits as its factorization.

2231463168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1103 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2231463168 is about 47238.3654247265. The cubic root of 2231463168 is about 1306.7622328179.

The spelling of 2231463168 in words is "two billion, two hundred thirty-one million, four hundred sixty-three thousand, one hundred sixty-eight".