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2252430 = 232529863
BaseRepresentation
bin1000100101111010001110
311020102202100
420211322032
51034034210
6120135530
725100565
oct10457216
94212670
102252430
1112a9314
129075a6
1360b2cb
14428bdc
152e75c0
hex225e8e

2252430 has 48 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 579264.

The previous prime is 2252407. The next prime is 2252441. The reversal of 2252430 is 342522.

2252430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179 + ... + 3041.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

22252430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2252430 is an abundant number, since it is smaller than the sum of its proper divisors (3812850).

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

2252430 is a wasteful number, since it uses less digits than its factorization.

2252430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2252430 is about 1500.8097814180. The cubic root of 2252430 is about 131.0842260833.

Adding to 2252430 its reverse (342522), we get a palindrome (2594952).

The spelling of 2252430 in words is "two million, two hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 863 870 1305 1726 2589 2610 4315 5178 7767 8630 12945 15534 25027 25890 38835 50054 75081 77670 125135 150162 225243 250270 375405 450486 750810 1126215 2252430