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2253150 = 233521669
BaseRepresentation
bin1000100110000101011110
311020110202000
420212011132
51034100100
6120143130
725102644
oct10460536
94213660
102253150
1112a9909
12907aa6
1360b733
14429194
152e7900
hex22615e

2253150 has 48 divisors (see below), whose sum is σ = 6212400. Its totient is φ = 600480.

The previous prime is 2253137. The next prime is 2253161. The reversal of 2253150 is 513522.

2253150 = T412 + T413 + ... + T436.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (129425).

22253150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106200).

2253150 is an abundant number, since it is smaller than the sum of its proper divisors (3959250).

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

2253150 is a wasteful number, since it uses less digits than its factorization.

2253150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2253150 is about 1501.0496327570. The cubic root of 2253150 is about 131.0981918282.

Adding to 2253150 its reverse (513522), we get a palindrome (2766672).

It can be divided in two parts, 225 and 3150, that added together give a cube (3375 = 153).

The spelling of 2253150 in words is "two million, two hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 1669 3338 5007 8345 10014 15021 16690 25035 30042 41725 45063 50070 75105 83450 90126 125175 150210 225315 250350 375525 450630 751050 1126575 2253150