Search a number
-
+
2264688 = 243215727
BaseRepresentation
bin1000101000111001110000
311021001120100
420220321300
51034432223
6120312400
725151406
oct10507160
94231510
102264688
111307548
12912700
13613a6a
1442d476
152eb043
hex228e70

2264688 has 30 divisors (see below), whose sum is σ = 6338384. Its totient is φ = 754848.

The previous prime is 2264683. The next prime is 2264699. The reversal of 2264688 is 8864622.

2264688 is a `hidden beast` number, since 2 + 2 + 646 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7720 + ... + 8007.

22264688 is an apocalyptic number.

It is an amenable number.

2264688 is an abundant number, since it is smaller than the sum of its proper divisors (4073696).

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

2264688 is a wasteful number, since it uses less digits than its factorization.

2264688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15741 (or 15732 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2264688 is about 1504.8880357023. Note that the first 3 decimals coincide. The cubic root of 2264688 is about 131.3215881572.

The spelling of 2264688 in words is "two million, two hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15727 31454 47181 62908 94362 125816 141543 188724 251632 283086 377448 566172 754896 1132344 2264688