Search a number
-
+
2287152 = 243272269
BaseRepresentation
bin1000101110011000110000
311022012101100
420232120300
51041142102
6121004400
725304040
oct10563060
94265340
102287152
11132240a
12923700
1362105a
14437720
15302a1c
hex22e630

2287152 has 60 divisors (see below), whose sum is σ = 7318480. Its totient is φ = 653184.

The previous prime is 2287133. The next prime is 2287171. The reversal of 2287152 is 2517822.

It is an interprime number because it is at equal distance from previous prime (2287133) and next prime (2287171).

It is a super-2 number, since 2×22871522 = 10462128542208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127 + ... + 2142.

22287152 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 2287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659240).

2287152 is an abundant number, since it is smaller than the sum of its proper divisors (5031328).

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

2287152 is a wasteful number, since it uses less digits than its factorization.

2287152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2281 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2287152 is about 1512.3332965983. Note that the first 3 decimals coincide. The cubic root of 2287152 is about 131.7543641218.

The spelling of 2287152 in words is "two million, two hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2269 4538 6807 9076 13614 15883 18152 20421 27228 31766 36304 40842 47649 54456 63532 81684 95298 108912 127064 142947 163368 190596 254128 285894 326736 381192 571788 762384 1143576 2287152