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2270404080 = 24345750053
BaseRepresentation
bin1000011101010011…
…1001110111110000
312212020011110220000
42013110321313300
514122210412310
61013142350000
7110156054610
oct20724716760
95766143800
102270404080
11a6564720a
1253442b300
132a24b2089
14177766a40
15d44c74c0
hex87539df0

2270404080 has 200 divisors, whose sum is σ = 9012122592. Its totient is φ = 518939136.

The previous prime is 2270404067. The next prime is 2270404109. The reversal of 2270404080 is 804040722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20334 + ... + 70386.

Almost surely, 22270404080 is an apocalyptic number.

2270404080 is a gapful number since it is divisible by the number (20) 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 2270404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506061296).

2270404080 is an abundant number, since it is smaller than the sum of its proper divisors (6741718512).

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

2270404080 is a wasteful number, since it uses less digits than its factorization.

2270404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50085 (or 50070 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2270404080 is about 47648.7573814890. The cubic root of 2270404080 is about 1314.3198070641.

The spelling of 2270404080 in words is "two billion, two hundred seventy million, four hundred four thousand, eighty".