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2270677248 = 28327220113
BaseRepresentation
bin1000011101010111…
…1100100100000000
312212020200100121100
42013111330210000
514122243132443
61013152254400
7110161303200
oct20725744400
95766610540
102270677248
11a65813474
12534541400
132a2579508
141777d8400
15d452d3d3
hex8757c900

2270677248 has 162 divisors, whose sum is σ = 7616186214. Its totient is φ = 648732672.

The previous prime is 2270677247. The next prime is 2270677259. The reversal of 2270677248 is 8427760722.

It can be written as a sum of positive squares in only one way, i.e., 1416167424 + 854509824 = 37632^2 + 29232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270677247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102840 + ... + 122952.

Almost surely, 22270677248 is an apocalyptic number.

2270677248 is a gapful number since it is divisible by the number (28) 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 2270677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808093107).

2270677248 is an abundant number, since it is smaller than the sum of its proper divisors (5345508966).

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

2270677248 is a wasteful number, since it uses less digits than its factorization.

2270677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2270677248 is about 47651.6237708643. The cubic root of 2270677248 is about 1314.3725165822.

The spelling of 2270677248 in words is "two billion, two hundred seventy million, six hundred seventy-seven thousand, two hundred forty-eight".