Search a number
-
+
2232816 = 243181257
BaseRepresentation
bin1000100001000111110000
311012102211220
420201013300
51032422231
6115505040
724656445
oct10410760
94172756
102232816
111295603
128b8180
136023c1
144219cc
152e1896
hex2211f0

2232816 has 40 divisors (see below), whose sum is σ = 5822544. Its totient is φ = 737280.

The previous prime is 2232809. The next prime is 2232821. The reversal of 2232816 is 6182322.

It is a super-3 number, since 3×22328163 = 33394893396801343488, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

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, 8560 + ... + 8816.

22232816 is an apocalyptic number.

It is an amenable number.

2232816 is an abundant number, since it is smaller than the sum of its proper divisors (3589728).

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

2232816 is a wasteful number, since it uses less digits than its factorization.

2232816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2232816 is about 1494.2610213748. The cubic root of 2232816 is about 130.7026255793.

The spelling of 2232816 in words is "two million, two hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 257 362 514 543 724 771 1028 1086 1448 1542 2056 2172 2896 3084 4112 4344 6168 8688 12336 46517 93034 139551 186068 279102 372136 558204 744272 1116408 2232816