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2073484224 = 263372329257
BaseRepresentation
bin111101110010110…
…1101101111000000
312100111121220122000
41323211231233000
513221302443344
6541425544000
7102245216340
oct17345555700
95314556560
102073484224
11974478429
1249a4a5000
13270765a56
14159546d20
15c207aa69
hex7b96dbc0

2073484224 has 448 divisors, whose sum is σ = 7549286400. Its totient is φ = 544997376.

The previous prime is 2073484223. The next prime is 2073484241. The reversal of 2073484224 is 4224843702.

It is a tau number, because it is divible by the number of its divisors (448).

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 (2073484223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8067904 + ... + 8068160.

Almost surely, 22073484224 is an apocalyptic number.

2073484224 is a gapful number since it is divisible by the number (24) 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 2073484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774643200).

2073484224 is an abundant number, since it is smaller than the sum of its proper divisors (5475802176).

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

2073484224 is a wasteful number, since it uses less digits than its factorization.

2073484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2073484224 is about 45535.5270530604. The cubic root of 2073484224 is about 1275.1665498694.

The spelling of 2073484224 in words is "two billion, seventy-three million, four hundred eighty-four thousand, two hundred twenty-four".