Search a number
-
+
3222349536 = 253719237359
BaseRepresentation
bin1100000000010001…
…0010011011100000
322022120102022120010
43000010102123200
523044410141121
61251430044520
7142565343030
oct30004223340
98276368503
103222349536
111403a2899a
1275b1a9740
133c4795503
14227d658c0
1513cd65376
hexc01126e0

3222349536 has 288 divisors, whose sum is σ = 10507553280. Its totient is φ = 846277632.

The previous prime is 3222349511. The next prime is 3222349553. The reversal of 3222349536 is 6359432223.

It is a junction number, because it is equal to n+sod(n) for n = 3222349494 and 3222349503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8975725 + ... + 8976083.

It is an arithmetic number, because the mean of its divisors is an integer number (36484560).

Almost surely, 23222349536 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 3222349536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253776640).

3222349536 is an abundant number, since it is smaller than the sum of its proper divisors (7285203744).

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

3222349536 is a wasteful number, since it uses less digits than its factorization.

3222349536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 427 counting only the distinct ones).

The product of its digits is 233280, while the sum is 39.

The square root of 3222349536 is about 56765.7426270458. The cubic root of 3222349536 is about 1477.0353265180.

The spelling of 3222349536 in words is "three billion, two hundred twenty-two million, three hundred forty-nine thousand, five hundred thirty-six".