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2231271216 = 2432172321723
BaseRepresentation
bin1000010011111110…
…0111111100110000
312202111112022200200
42010333213330300
514032201134331
61005223515200
7106202330616
oct20477477460
95674468620
102231271216
11a455490a9
125232b8b00
13297360135
1417249b6b6
15d0d475e6
hex84fe7f30

2231271216 has 180 divisors, whose sum is σ = 6915760488. Its totient is φ = 669182976.

The previous prime is 2231271191. The next prime is 2231271253. The reversal of 2231271216 is 6121721322.

It is a super-3 number, since 3×22312712163 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231271216.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1294131 + ... + 1295853.

Almost surely, 22231271216 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 2231271216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457880244).

2231271216 is an abundant number, since it is smaller than the sum of its proper divisors (4684489272).

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

2231271216 is a wasteful number, since it uses less digits than its factorization.

2231271216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1768 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2231271216 is about 47236.3336426527. Note that the first 3 decimals coincide. The cubic root of 2231271216 is about 1306.7247622141.

Adding to 2231271216 its reverse (6121721322), we get a palindrome (8352992538).

It can be divided in two parts, 22312 and 71216, that added together give a triangular number (93528 = T432).

The spelling of 2231271216 in words is "two billion, two hundred thirty-one million, two hundred seventy-one thousand, two hundred sixteen".