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3322193472 = 2632131921229
BaseRepresentation
bin1100011000000100…
…1010011001000000
322120112021220200200
43012001022121000
523300440142342
61305354045200
7145220115153
oct30601123100
98515256620
103322193472
111455323144
12788719800
1340c382c70
14237315c9a
151469d894c
hexc604a640

3322193472 has 252 divisors, whose sum is σ = 10831913820. Its totient is φ = 967624704.

The previous prime is 3322193437. The next prime is 3322193503. The reversal of 3322193472 is 2743912233.

It can be written as a sum of positive squares in 2 ways, for example, as 2121155136 + 1201038336 = 46056^2 + 34656^2 .

It is a super-2 number, since 2×33221934722 = 22073938930798829568, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2702554 + ... + 2703782.

It is an arithmetic number, because the mean of its divisors is an integer number (42983785).

Almost surely, 23322193472 is an apocalyptic number.

3322193472 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 3322193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415956910).

3322193472 is an abundant number, since it is smaller than the sum of its proper divisors (7509720348).

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

3322193472 is a wasteful number, since it uses less digits than its factorization.

3322193472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1266 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3322193472 is about 57638.4721518536. The cubic root of 3322193472 is about 1492.1356507321.

The spelling of 3322193472 in words is "three billion, three hundred twenty-two million, one hundred ninety-three thousand, four hundred seventy-two".