Search a number
-
+
3222120330 = 23351113174909
BaseRepresentation
bin1100000000001101…
…1010011110001010
322022112222200011000
43000003122132022
523044330322310
61251421115430
7142563366552
oct30003323612
98275880130
103222120330
111403891770
1275b0b8b76
133c47150a0
14227d06162
1513cd1c4c0
hexc00da78a

3222120330 has 256 divisors, whose sum is σ = 10690444800. Its totient is φ = 678481920.

The previous prime is 3222120299. The next prime is 3222120359. The reversal of 3222120330 is 330212223.

It is a happy number.

3222120330 is a `hidden beast` number, since 322 + 2 + 12 + 0 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 653916 + ... + 658824.

It is an arithmetic number, because the mean of its divisors is an integer number (41759550).

Almost surely, 23222120330 is an apocalyptic number.

3222120330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345222400).

3222120330 is an abundant number, since it is smaller than the sum of its proper divisors (7468324470).

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

3222120330 is a wasteful number, since it uses less digits than its factorization.

3222120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3222120330 is about 56763.7237150630. The cubic root of 3222120330 is about 1477.0003051376. Note that the first 3 decimals are identical.

Adding to 3222120330 its reverse (330212223), we get a palindrome (3552332553).

The spelling of 3222120330 in words is "three billion, two hundred twenty-two million, one hundred twenty thousand, three hundred thirty".