Search a number
-
+
3220436736 = 283211314099
BaseRepresentation
bin1011111111110011…
…1111011100000000
322022102211010200200
42333330333130000
523043412433421
61251321045200
7142543155246
oct27774773400
98272733620
103220436736
111402941870
1275a626800
133c427598a
142279c8796
1513cad8726
hexbff3f700

3220436736 has 216 divisors, whose sum is σ = 10458739200. Its totient is φ = 944179200.

The previous prime is 3220436729. The next prime is 3220436753. The reversal of 3220436736 is 6376340223.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3220436736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783615 + ... + 787713.

Almost surely, 23220436736 is an apocalyptic number.

3220436736 is a gapful number since it is divisible by the number (36) 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 3220436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229369600).

3220436736 is an abundant number, since it is smaller than the sum of its proper divisors (7238302464).

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

3220436736 is a wasteful number, since it uses less digits than its factorization.

3220436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3220436736 is about 56748.8919363189. The cubic root of 3220436736 is about 1476.7430105793.

Adding to 3220436736 its reverse (6376340223), we get a palindrome (9596776959).

The spelling of 3220436736 in words is "three billion, two hundred twenty million, four hundred thirty-six thousand, seven hundred thirty-six".