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2280746248 = 2311171818423
BaseRepresentation
bin1000011111110001…
…0110110100001000
312212221121220200021
42013330112310020
514132332334443
61014152150224
7110343010654
oct20774266410
95787556607
102280746248
11a70470460
12537998374
132a46935c1
14178c99a64
15d536b9ed
hex87f16d08

2280746248 has 64 divisors (see below), whose sum is σ = 4967464320. Its totient is φ = 970214400.

The previous prime is 2280746213. The next prime is 2280746249. The reversal of 2280746248 is 8426470822.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2280746249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266565 + ... + 274987.

It is an arithmetic number, because the mean of its divisors is an integer number (77616630).

Almost surely, 22280746248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280746248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483732160).

2280746248 is an abundant number, since it is smaller than the sum of its proper divisors (2686718072).

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

2280746248 is a wasteful number, since it uses less digits than its factorization.

2280746248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 2280746248 is about 47757.1591282396. The cubic root of 2280746248 is about 1316.3124521786.

The spelling of 2280746248 in words is "two billion, two hundred eighty million, seven hundred forty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 181 187 362 374 724 748 1448 1496 1991 3077 3982 6154 7964 8423 12308 15928 16846 24616 33692 33847 67384 67694 92653 135388 143191 185306 270776 286382 370612 572764 741224 1145528 1524563 1575101 3049126 3150202 6098252 6300404 12196504 12600808 16770193 25917571 33540386 51835142 67080772 103670284 134161544 207340568 285093281 570186562 1140373124 2280746248