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2252432 = 247213217
BaseRepresentation
bin1000100101111010010000
311020102202102
420211322100
51034034212
6120135532
725100600
oct10457220
94212672
102252432
1112a9316
129075a8
1360b300
14428c00
152e75c2
hex225e90

2252432 has 90 divisors (see below), whose sum is σ = 5820498. Its totient is φ = 838656.

The previous prime is 2252407. The next prime is 2252441. The reversal of 2252432 is 2342522.

2252432 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 2202256 = 224^2 + 1484^2 .

It is a d-powerful number, because it can be written as 29 + 211 + 53 + 217 + 43 + 313 + 219 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132488 + ... + 132504.

22252432 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 2252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910249).

2252432 is an abundant number, since it is smaller than the sum of its proper divisors (3568066).

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

2252432 is a wasteful number, since it uses less digits than its factorization.

2252432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 39 counting only the distinct ones).

The product of its digits is 960, while the sum is 20.

The square root of 2252432 is about 1500.8104477248. The cubic root of 2252432 is about 131.0842648812.

Adding to 2252432 its reverse (2342522), we get a palindrome (4594954).

The spelling of 2252432 in words is "two million, two hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 68 91 98 104 112 119 136 169 182 196 208 221 238 272 338 364 392 442 476 637 676 728 784 833 884 952 1183 1274 1352 1456 1547 1666 1768 1904 2366 2548 2704 2873 3094 3332 3536 4732 5096 5746 6188 6664 8281 9464 10192 10829 11492 12376 13328 16562 18928 20111 21658 22984 24752 33124 40222 43316 45968 66248 80444 86632 132496 140777 160888 173264 281554 321776 563108 1126216 2252432