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3244330148220 = 2234575971163419
BaseRepresentation
bin101111001101100001001…
…001010110000101111100
3102111011011221112211010000
4233031201021112011330
5411123342004220340
610522231422314300
7453252345151530
oct57154111260574
912434157484100
103244330148220
111040a04875407
12444933728990
131a6c290483c5
14b30526b9bc0
15595d48dbd30
hex2f36125617c

3244330148220 has 960 divisors, whose sum is σ = 12097664409600. Its totient is φ = 712610680320.

The previous prime is 3244330148219. The next prime is 3244330148221. The reversal of 3244330148220 is 228410334423.

3244330148220 is a `hidden beast` number, since 3 + 244 + 330 + 1 + 4 + 82 + 2 + 0 = 666.

3244330148220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3244330148219) and next prime (3244330148221).

It is a super-2 number, since 2×32443301482202 (a number of 26 digits) 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 not an unprimeable number, because it can be changed into a prime (3244330148221) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7743031171 + ... + 7743031589.

It is an arithmetic number, because the mean of its divisors is an integer number (12601733760).

Almost surely, 23244330148220 is an apocalyptic number.

3244330148220 is a gapful number since it is divisible by the number (30) 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 3244330148220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048832204800).

3244330148220 is an abundant number, since it is smaller than the sum of its proper divisors (8853334261380).

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

3244330148220 is a wasteful number, since it uses less digits than its factorization.

3244330148220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 3244330148220 in words is "three trillion, two hundred forty-four billion, three hundred thirty million, one hundred forty-eight thousand, two hundred twenty".