Search a number
-
+
3222309384 = 233373233161
BaseRepresentation
bin1100000000010000…
…1000101000001000
322022120100021111000
43000010020220020
523044402400014
61251425135000
7142565115000
oct30004105010
98276307430
103222309384
111403a00808
1275b18a460
133c4780158
14227d55000
1513cd58509
hexc0108a08

3222309384 has 512 divisors, whose sum is σ = 11427840000. Its totient is φ = 838252800.

The previous prime is 3222309341. The next prime is 3222309397. The reversal of 3222309384 is 4839032223.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52824714 + ... + 52824774.

It is an arithmetic number, because the mean of its divisors is an integer number (22320000).

Almost surely, 23222309384 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 3222309384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920000).

3222309384 is an abundant number, since it is smaller than the sum of its proper divisors (8205530616).

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

3222309384 is a wasteful number, since it uses less digits than its factorization.

3222309384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3222309384 is about 56765.3889619370. The cubic root of 3222309384 is about 1477.0291916395.

The spelling of 3222309384 in words is "three billion, two hundred twenty-two million, three hundred nine thousand, three hundred eighty-four".