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2262832 = 2411132343
BaseRepresentation
bin1000101000011100110000
311020222000121
420220130300
51034402312
6120300024
725143115
oct10503460
94228017
102262832
111306110
12911614
13612c70
1442c90c
152ea707
hex228730

2262832 has 80 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 887040.

The previous prime is 2262823. The next prime is 2262833. The reversal of 2262832 is 2382622.

2262832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2262797 and 2262806.

It is not an unprimeable number, because it can be changed into a prime (2262833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52603 + ... + 52645.

22262832 is an apocalyptic number.

2262832 is a gapful number since it is divisible by the number (22) 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 2262832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2262832 is an abundant number, since it is smaller than the sum of its proper divisors (3236816).

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

2262832 is a wasteful number, since it uses less digits than its factorization.

2262832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2262832 is about 1504.2712521351. The cubic root of 2262832 is about 131.2857039676.

The spelling of 2262832 in words is "two million, two hundred sixty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 23 26 43 44 46 52 86 88 92 104 143 172 176 184 208 253 286 299 344 368 473 506 559 572 598 688 946 989 1012 1118 1144 1196 1892 1978 2024 2236 2288 2392 3289 3784 3956 4048 4472 4784 6149 6578 7568 7912 8944 10879 12298 12857 13156 15824 21758 24596 25714 26312 43516 49192 51428 52624 87032 98384 102856 141427 174064 205712 282854 565708 1131416 2262832