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2252032 = 2819463
BaseRepresentation
bin1000100101110100000000
311020102012121
420211310000
51034031112
6120134024
725066456
oct10456400
94212177
102252032
1112a8a92
12907314
1360b083
144289d6
152e7407
hex225d00

2252032 has 36 divisors (see below), whose sum is σ = 4742080. Its totient is φ = 1064448.

The previous prime is 2252017. The next prime is 2252087. The reversal of 2252032 is 2302522.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 22 + 212 + 52 + 217 + 0 + 39 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2251997 and 2252015.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4633 + ... + 5095.

22252032 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 2252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371040).

2252032 is an abundant number, since it is smaller than the sum of its proper divisors (2490048).

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

2252032 is an equidigital number, since it uses as much as digits as its factorization.

2252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2252032 is about 1500.6771804755. The cubic root of 2252032 is about 131.0765048526.

Adding to 2252032 its reverse (2302522), we get a palindrome (4554554).

The spelling of 2252032 in words is "two million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 463 608 926 1216 1852 2432 3704 4864 7408 8797 14816 17594 29632 35188 59264 70376 118528 140752 281504 563008 1126016 2252032