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2274648960 = 273517227307
BaseRepresentation
bin1000011110010100…
…0110001110000000
312212112011010202210
42013211012032000
514124302231320
61013413342120
7110240124423
oct20745061600
95775133683
102274648960
11a67a86481
12535937940
132a333a23c
1417814d9ba
15d4a650e0
hex87946380

2274648960 has 256 divisors, whose sum is σ = 7735875840. Its totient is φ = 566525952.

The previous prime is 2274648953. The next prime is 2274648979. The reversal of 2274648960 is 698464722.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7409127 + ... + 7409433.

It is an arithmetic number, because the mean of its divisors is an integer number (30218265).

Almost surely, 22274648960 is an apocalyptic number.

2274648960 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 2274648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867937920).

2274648960 is an abundant number, since it is smaller than the sum of its proper divisors (5461226880).

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

2274648960 is a wasteful number, since it uses less digits than its factorization.

2274648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2274648960 is about 47693.2800297904. The cubic root of 2274648960 is about 1315.1384067863.

The spelling of 2274648960 in words is "two billion, two hundred seventy-four million, six hundred forty-eight thousand, nine hundred sixty".