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2274966000 = 24355331151
BaseRepresentation
bin1000011110011001…
…0011100111110000
312212112202020200000
42013212103213300
514124342403000
61013424230000
7110242614636
oct20746234760
95775666600
102274966000
11a6818269a
12535a6b300
132a341b638
141781d3356
15d4ac9000
hex879939f0

2274966000 has 480 divisors, whose sum is σ = 8562118656. Its totient is φ = 583200000.

The previous prime is 2274965989. The next prime is 2274966019. The reversal of 2274966000 is 6694722.

It is a happy number.

2274966000 is a `hidden beast` number, since 2 + 2 + 7 + 49 + 6 + 600 + 0 = 666.

2274966000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15065925 + ... + 15066075.

Almost surely, 22274966000 is an apocalyptic number.

2274966000 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 2274966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281059328).

2274966000 is an abundant number, since it is smaller than the sum of its proper divisors (6287152656).

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

2274966000 is a wasteful number, since it uses less digits than its factorization.

2274966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2274966000 is about 47696.6036526711. The cubic root of 2274966000 is about 1315.1995051679.

The spelling of 2274966000 in words is "two billion, two hundred seventy-four million, nine hundred sixty-six thousand".