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722494080 = 27345711181
BaseRepresentation
bin101011000100000…
…110001010000000
31212100111111120000
4223010012022000
52434424302310
6155405320000
723622045510
oct5304061200
91770444500
10722494080
11340913550
12181b66000
13b68b6ab9
146bd51840
15436674c0
hex2b106280

722494080 has 640 divisors, whose sum is σ = 3234591360. Its totient is φ = 149299200.

The previous prime is 722494051. The next prime is 722494099. The reversal of 722494080 is 80494227.

722494080 is a `hidden beast` number, since 7 + 2 + 249 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 3991590 + ... + 3991770.

It is an arithmetic number, because the mean of its divisors is an integer number (5054049).

Almost surely, 2722494080 is an apocalyptic number.

722494080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

722494080 is the 13440-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617295680).

722494080 is an abundant number, since it is smaller than the sum of its proper divisors (2512097280).

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

722494080 is a wasteful number, since it uses less digits than its factorization.

722494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 722494080 is about 26879.2499895365. The cubic root of 722494080 is about 897.3146623708.

722494080 divided by its sum of digits (36) gives a triangular number (20069280 = T6335).

The spelling of 722494080 in words is "seven hundred twenty-two million, four hundred ninety-four thousand, eighty".