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2276396640 = 253257534261
BaseRepresentation
bin1000011110101111…
…0000111001100000
312212122102221010200
42013223300321200
514130224143030
61013515025200
7110261023620
oct20753607140
95778387120
102276396640
11a68a6a541
1253643b200
132a37cc87b
14178486880
15d4cacd60
hex87af0e60

2276396640 has 288 divisors, whose sum is σ = 9047578176. Its totient is φ = 510382080.

The previous prime is 2276396627. The next prime is 2276396659. The reversal of 2276396640 is 466936722.

2276396640 is a `hidden beast` number, since 2 + 2 + 7 + 639 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532110 + ... + 536370.

It is an arithmetic number, because the mean of its divisors is an integer number (31415202).

Almost surely, 22276396640 is an apocalyptic number.

2276396640 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 2276396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523789088).

2276396640 is an abundant number, since it is smaller than the sum of its proper divisors (6771181536).

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

2276396640 is a wasteful number, since it uses less digits than its factorization.

2276396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2276396640 is about 47711.5985898607. The cubic root of 2276396640 is about 1315.4751404580.

The spelling of 2276396640 in words is "two billion, two hundred seventy-six million, three hundred ninety-six thousand, six hundred forty".