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2232832 = 297289
BaseRepresentation
bin1000100001001000000000
311012102212111
420201020000
51032422312
6115505104
724656500
oct10411000
94172774
102232832
111295618
128b8194
13602404
14421a00
152e18a7
hex221200

2232832 has 60 divisors (see below), whose sum is σ = 5247990. Its totient is φ = 946176.

The previous prime is 2232827. The next prime is 2232833. The reversal of 2232832 is 2382322.

It can be written as a sum of positive squares in only one way, i.e., 2119936 + 112896 = 1456^2 + 336^2 .

It is a super-3 number, since 3×22328323 = 33395611309235503104, which contains 333 as substring.

It is a d-powerful number, because it can be written as 22 + 28 + 32 + 217 + 84 + 35 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2232833) 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, 25044 + ... + 25132.

22232832 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 2232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623995).

2232832 is an abundant number, since it is smaller than the sum of its proper divisors (3015158).

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

2232832 is an frugal number, since it uses more digits than its factorization.

2232832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 2232832 is about 1494.2663751821. The cubic root of 2232832 is about 130.7029377766.

The spelling of 2232832 in words is "two million, two hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1246 1424 1568 1792 2492 2848 3136 3584 4361 4984 5696 6272 8722 9968 11392 12544 17444 19936 22784 25088 34888 39872 45568 69776 79744 139552 159488 279104 318976 558208 1116416 2232832