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2253152 = 251137173
BaseRepresentation
bin1000100110000101100000
311020110202002
420212011200
51034100102
6120143132
725102646
oct10460540
94213662
102253152
1112a9910
12907aa8
1360b735
14429196
152e7902
hex226160

2253152 has 48 divisors (see below), whose sum is σ = 4998672. Its totient is φ = 990720.

The previous prime is 2253137. The next prime is 2253161. The reversal of 2253152 is 2513522.

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 7 ways as a sum of consecutive naturals, for example, 12938 + ... + 13110.

It is an arithmetic number, because the mean of its divisors is an integer number (104139).

22253152 is an apocalyptic number.

2253152 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 2253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499336).

2253152 is an abundant number, since it is smaller than the sum of its proper divisors (2745520).

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

2253152 is a wasteful number, since it uses less digits than its factorization.

2253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 2253152 is about 1501.0502989574. The cubic root of 2253152 is about 131.0982306178.

Adding to 2253152 its reverse (2513522), we get a palindrome (4766674).

The spelling of 2253152 in words is "two million, two hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 173 176 296 346 352 407 592 692 814 1184 1384 1628 1903 2768 3256 3806 5536 6401 6512 7612 12802 13024 15224 25604 30448 51208 60896 70411 102416 140822 204832 281644 563288 1126576 2253152