Search a number
-
+
3227445221000 = 2353721121323221
BaseRepresentation
bin101110111101110010101…
…110011101011010001000
3102102112121012120122101012
4232331302232131122020
5410334301434033000
610510400131543052
7452114046510500
oct56756256353210
912375535518335
103227445221000
11103482a762700
12441600a5aa88
131a5467b45300
14b22cddd2a00
1558e47395735
hex2ef72b9d688

3227445221000 has 864 divisors, whose sum is σ = 10459694012040. Its totient is φ = 928287360000.

The previous prime is 3227445220981. The next prime is 3227445221017. The reversal of 3227445221000 is 1225447223.

It can be written as a sum of positive squares in 12 ways, for example, as 636111524356 + 2591333696644 = 797566^2 + 1609762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1001999390 + ... + 1002002610.

Almost surely, 23227445221000 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 3227445221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229847006020).

3227445221000 is an abundant number, since it is smaller than the sum of its proper divisors (7232248791040).

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

3227445221000 is a wasteful number, since it uses less digits than its factorization.

3227445221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 3227445221000 in words is "three trillion, two hundred twenty-seven billion, four hundred forty-five million, two hundred twenty-one thousand".