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2251488 = 25347499
BaseRepresentation
bin1000100101101011100000
311020101110110
420211223200
51034021423
6120131320
725065051
oct10455340
94211413
102251488
1112a8638
12906b40
1360aa55
14428728
152e7193
hex225ae0

2251488 has 48 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 733056.

The previous prime is 2251471. The next prime is 2251489. The reversal of 2251488 is 8841522.

2251488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4263 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

22251488 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 2251488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2251488 is an abundant number, since it is smaller than the sum of its proper divisors (3796512).

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

2251488 is a wasteful number, since it uses less digits than its factorization.

2251488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 2251488 is about 1500.4959180218. The cubic root of 2251488 is about 131.0659497390.

The spelling of 2251488 in words is "two million, two hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 499 564 752 998 1128 1497 1504 1996 2256 2994 3992 4512 5988 7984 11976 15968 23453 23952 46906 47904 70359 93812 140718 187624 281436 375248 562872 750496 1125744 2251488