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2252376 = 2332741109
BaseRepresentation
bin1000100101111001011000
311020102200100
420211321120
51034034001
6120135400
725100460
oct10457130
94212610
102252376
1112a9275
12907560
1360b289
14428ba0
152e7586
hex225e58

2252376 has 96 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 622080.

The previous prime is 2252359. The next prime is 2252387. The reversal of 2252376 is 6732522.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 20610 + ... + 20718.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

22252376 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 2252376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2252376 is an abundant number, since it is smaller than the sum of its proper divisors (4954824).

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

2252376 is a wasteful number, since it uses less digits than its factorization.

2252376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2252376 is about 1500.7917910223. The cubic root of 2252376 is about 131.0831785325.

Adding to 2252376 its reverse (6732522), we get a palindrome (8984898).

It can be divided in two parts, 2252 and 376, that added together give a triangular number (2628 = T72).

The spelling of 2252376 in words is "two million, two hundred fifty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 109 123 126 164 168 218 246 252 287 327 328 369 436 492 504 574 654 738 763 861 872 981 984 1148 1308 1476 1526 1722 1962 2289 2296 2583 2616 2952 3052 3444 3924 4469 4578 5166 6104 6867 6888 7848 8938 9156 10332 13407 13734 17876 18312 20664 26814 27468 31283 35752 40221 53628 54936 62566 80442 93849 107256 125132 160884 187698 250264 281547 321768 375396 563094 750792 1126188 2252376