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2239699680 = 253351730497
BaseRepresentation
bin1000010101111111…
…0001101011100000
312210002101112101000
42011133301223200
514041330342210
61010124312000
7106334063451
oct20537615340
95702345330
102239699680
11a4a285579
125260a2600
132990215aa
14173653128
15d195eac0
hex857f1ae0

2239699680 has 192 divisors, whose sum is σ = 8300335680. Its totient is φ = 562102272.

The previous prime is 2239699673. The next prime is 2239699703. The reversal of 2239699680 is 869969322.

2239699680 = T16224 + T16225 + ... + T16240.

2239699680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58192 + ... + 88688.

It is an arithmetic number, because the mean of its divisors is an integer number (43230915).

Almost surely, 22239699680 is an apocalyptic number.

2239699680 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 2239699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150167840).

2239699680 is an abundant number, since it is smaller than the sum of its proper divisors (6060636000).

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

2239699680 is a wasteful number, since it uses less digits than its factorization.

2239699680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30538 (or 30524 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 2239699680 is about 47325.4654493751. The cubic root of 2239699680 is about 1308.3680472576.

The spelling of 2239699680 in words is "two billion, two hundred thirty-nine million, six hundred ninety-nine thousand, six hundred eighty".