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2276455104 = 26357111901
BaseRepresentation
bin1000011110101111…
…1111001011000000
312212122112220100000
42013223333023000
514130233030404
61013520200000
7110261356230
oct20753771300
95778486300
102276455104
11a68aaa460
12536469000
132a3820371
1417849dcc0
15d4cc0339
hex87aff2c0

2276455104 has 336 divisors, whose sum is σ = 8440862976. Its totient is φ = 590976000.

The previous prime is 2276455087. The next prime is 2276455109. The reversal of 2276455104 is 4015546722.

It is a happy number.

2276455104 is a `hidden beast` number, since 2 + 2 + 7 + 645 + 5 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2276455109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1196554 + ... + 1198454.

It is an arithmetic number, because the mean of its divisors is an integer number (25121616).

Almost surely, 22276455104 is an apocalyptic number.

2276455104 is a gapful number since it is divisible by the number (24) 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 2276455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220431488).

2276455104 is an abundant number, since it is smaller than the sum of its proper divisors (6164407872).

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

2276455104 is a wasteful number, since it uses less digits than its factorization.

2276455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2276455104 is about 47712.2112671379. The cubic root of 2276455104 is about 1315.4864020104.

The spelling of 2276455104 in words is "two billion, two hundred seventy-six million, four hundred fifty-five thousand, one hundred four".