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2283552 = 2534881
BaseRepresentation
bin1000101101100000100000
311022000110000
420231200200
51041033202
6120540000
725260405
oct10554040
94260400
102283552
11131a737
12921600
1361c51b
144362ac
1530191c
hex22d820

2283552 has 60 divisors (see below), whose sum is σ = 6723486. Its totient is φ = 760320.

The previous prime is 2283551. The next prime is 2283563. The reversal of 2283552 is 2553822.

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 104976 = 1476^2 + 324^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283551) 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 9 ways as a sum of consecutive naturals, for example, 2152 + ... + 3032.

22283552 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 2283552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361743).

2283552 is an abundant number, since it is smaller than the sum of its proper divisors (4439934).

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

2283552 is an equidigital number, since it uses as much as digits as its factorization.

2283552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 886 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2283552 is about 1511.1426140507. The cubic root of 2283552 is about 131.6852002610.

The spelling of 2283552 in words is "two million, two hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 881 1296 1762 2592 2643 3524 5286 7048 7929 10572 14096 15858 21144 23787 28192 31716 42288 47574 63432 71361 84576 95148 126864 142722 190296 253728 285444 380592 570888 761184 1141776 2283552