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3222116352 = 2113271317113
BaseRepresentation
bin1100000000001101…
…1001100000000000
322022112222110200200
43000003121200000
523044330210402
61251421045200
7142563352140
oct30003314000
98275873620
103222116352
111403889784
1275b0b6800
133c4713330
14227d04920
1513cd1b21c
hexc00d9800

3222116352 has 576 divisors, whose sum is σ = 12234680640. Its totient is φ = 792723456.

The previous prime is 3222116297. The next prime is 3222116371. The reversal of 3222116352 is 2536112223.

It is a happy number.

3222116352 is a `hidden beast` number, since 3 + 2 + 2 + 21 + 1 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 28514248 + ... + 28514360.

It is an arithmetic number, because the mean of its divisors is an integer number (21240765).

Almost surely, 23222116352 is an apocalyptic number.

3222116352 is a gapful number since it is divisible by the number (32) 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 3222116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117340320).

3222116352 is an abundant number, since it is smaller than the sum of its proper divisors (9012564288).

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

3222116352 is a wasteful number, since it uses less digits than its factorization.

3222116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3222116352 is about 56763.6886750676. The cubic root of 3222116352 is about 1476.9996973070. Note that the first 3 decimals are identical.

Adding to 3222116352 its reverse (2536112223), we get a palindrome (5758228575).

The spelling of 3222116352 in words is "three billion, two hundred twenty-two million, one hundred sixteen thousand, three hundred fifty-two".