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2275478304 = 2531119247127
BaseRepresentation
bin1000011110100001…
…0000101100100000
312212120201021102020
42013220100230200
514130010301204
61013443221440
7110250150351
oct20750205440
95776637366
102275478304
11a684a2590
12536077880
132a356a888
141782c7d28
15d4b7abd9
hex87a10b20

2275478304 has 288 divisors, whose sum is σ = 7078772736. Its totient is φ = 634314240.

The previous prime is 2275478291. The next prime is 2275478327. The reversal of 2275478304 is 4038745722.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17917089 + ... + 17917215.

It is an arithmetic number, because the mean of its divisors is an integer number (24579072).

Almost surely, 22275478304 is an apocalyptic number.

2275478304 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 2275478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539386368).

2275478304 is an abundant number, since it is smaller than the sum of its proper divisors (4803294432).

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

2275478304 is a wasteful number, since it uses less digits than its factorization.

2275478304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2275478304 is about 47701.9737956408. The cubic root of 2275478304 is about 1315.2982218662.

The spelling of 2275478304 in words is "two billion, two hundred seventy-five million, four hundred seventy-eight thousand, three hundred four".