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2250948 = 2237127211
BaseRepresentation
bin1000100101100011000100
311020100201110
420211203010
51034012243
6120125020
725063350
oct10454304
94210643
102250948
1112a8197
12906770
1360a72b
14428460
152e6e33
hex2258c4

2250948 has 48 divisors (see below), whose sum is σ = 6078464. Its totient is φ = 635040.

The previous prime is 2250931. The next prime is 2250977. The reversal of 2250948 is 8490522.

2250948 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10563 + ... + 10773.

22250948 is an apocalyptic number.

2250948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039232).

2250948 is an abundant number, since it is smaller than the sum of its proper divisors (3827516).

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

2250948 is a wasteful number, since it uses less digits than its factorization.

2250948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2250948 is about 1500.3159667217. The cubic root of 2250948 is about 131.0554705548.

The spelling of 2250948 in words is "two million, two hundred fifty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 211 254 381 422 508 633 762 844 889 1266 1477 1524 1778 2532 2667 2954 3556 4431 5334 5908 8862 10668 17724 26797 53594 80391 107188 160782 187579 321564 375158 562737 750316 1125474 2250948