Search a number
-
+
2274864 = 24383571
BaseRepresentation
bin1000101011011000110000
311021120112020
420223120300
51040243424
6120431440
725223154
oct10533060
94246466
102274864
111314159
12918580
13618597
14433064
152ee079
hex22b630

2274864 has 40 divisors (see below), whose sum is σ = 5957952. Its totient is φ = 747840.

The previous prime is 2274859. The next prime is 2274887. The reversal of 2274864 is 4684722.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3699 + ... + 4269.

22274864 is an apocalyptic number.

2274864 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 2274864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978976).

2274864 is an abundant number, since it is smaller than the sum of its proper divisors (3683088).

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

2274864 is a wasteful number, since it uses less digits than its factorization.

2274864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2274864 is about 1508.2652286650. The cubic root of 2274864 is about 131.5179848852.

The spelling of 2274864 in words is "two million, two hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 571 664 996 1142 1328 1713 1992 2284 3426 3984 4568 6852 9136 13704 27408 47393 94786 142179 189572 284358 379144 568716 758288 1137432 2274864