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2246832 = 24337743
BaseRepresentation
bin1000100100100010110000
311020011002000
420210202300
51033344312
6120054000
725045350
oct10444260
94204060
102246832
1112a5095
12904300
136088b3
14426b60
152e5adc
hex2248b0

2246832 has 80 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 641088.

The previous prime is 2246831. The next prime is 2246851. The reversal of 2246832 is 2386422.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 2246796 and 2246805.

It is not an unprimeable number, because it can be changed into a prime (2246831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2653 + ... + 3395.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

22246832 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 2246832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2246832 is an abundant number, since it is smaller than the sum of its proper divisors (5133648).

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

2246832 is a wasteful number, since it uses less digits than its factorization.

2246832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2246832 is about 1498.9436280261. The cubic root of 2246832 is about 130.9755407591.

It can be divided in two parts, 22468 and 32, that added together give a square (22500 = 1502).

The spelling of 2246832 in words is "two million, two hundred forty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 743 756 1008 1486 1512 2229 2972 3024 4458 5201 5944 6687 8916 10402 11888 13374 15603 17832 20061 20804 26748 31206 35664 40122 41608 46809 53496 62412 80244 83216 93618 106992 124824 140427 160488 187236 249648 280854 320976 374472 561708 748944 1123416 2246832