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2262672 = 243219827
BaseRepresentation
bin1000101000011010010000
311020221210200
420220122100
51034401142
6120255200
725142466
oct10503220
94227720
102262672
111305a85
12911500
13612b79
1442c836
152ea64c
hex228690

2262672 has 60 divisors (see below), whose sum is σ = 6673680. Its totient is φ = 713664.

The previous prime is 2262643. The next prime is 2262679. The reversal of 2262672 is 2762622.

It is not an unprimeable number, because it can be changed into a prime (2262679) 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 11 ways as a sum of consecutive naturals, for example, 2323 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (111228).

22262672 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 2262672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336840).

2262672 is an abundant number, since it is smaller than the sum of its proper divisors (4411008).

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

2262672 is a wasteful number, since it uses less digits than its factorization.

2262672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2262672 is about 1504.2180692971. The cubic root of 2262672 is about 131.2826095844.

The spelling of 2262672 in words is "two million, two hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 827 912 1368 1654 2481 2736 3308 4962 6616 7443 9924 13232 14886 15713 19848 29772 31426 39696 47139 59544 62852 94278 119088 125704 141417 188556 251408 282834 377112 565668 754224 1131336 2262672