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2225027280 = 243573151179
BaseRepresentation
bin1000010010011111…
…0011100011010000
312202001210002121210
42010213303203100
514024101333110
61004442020120
7106065264000
oct20447634320
95661702553
102225027280
11a41a73a23
125211a7640
13295c850b8
14171714000
15d0512520
hex849f38d0

2225027280 has 320 divisors, whose sum is σ = 8142336000. Its totient is φ = 502387200.

The previous prime is 2225027279. The next prime is 2225027297. The reversal of 2225027280 is 827205222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12430231 + ... + 12430409.

It is an arithmetic number, because the mean of its divisors is an integer number (25444800).

Almost surely, 22225027280 is an apocalyptic number.

2225027280 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 2225027280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071168000).

2225027280 is an abundant number, since it is smaller than the sum of its proper divisors (5917308720).

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

2225027280 is a wasteful number, since it uses less digits than its factorization.

2225027280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2225027280 is about 47170.1948268183. The cubic root of 2225027280 is about 1305.5047210212.

The spelling of 2225027280 in words is "two billion, two hundred twenty-five million, twenty-seven thousand, two hundred eighty".