[go: up one dir, main page]

Search a number
-
+
2273400 = 233352421
BaseRepresentation
bin1000101011000001111000
311021111112000
420223001320
51040222100
6120421000
725215663
oct10530170
94244460
102273400
111313048
12917760
13617a0c
144326da
152ed900
hex22b078

2273400 has 96 divisors (see below), whose sum is σ = 7849200. Its totient is φ = 604800.

The previous prime is 2273399. The next prime is 2273431. The reversal of 2273400 is 43722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5190 + ... + 5610.

22273400 is an apocalyptic number.

2273400 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 2273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924600).

2273400 is an abundant number, since it is smaller than the sum of its proper divisors (5575800).

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

2273400 is a wasteful number, since it uses less digits than its factorization.

2273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2273400 is about 1507.7798247755. The cubic root of 2273400 is about 131.4897658138.

The spelling of 2273400 in words is "two million, two hundred seventy-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 421 450 540 600 675 842 900 1080 1263 1350 1684 1800 2105 2526 2700 3368 3789 4210 5052 5400 6315 7578 8420 10104 10525 11367 12630 15156 16840 18945 21050 22734 25260 30312 31575 37890 42100 45468 50520 56835 63150 75780 84200 90936 94725 113670 126300 151560 189450 227340 252600 284175 378900 454680 568350 757800 1136700 2273400