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2254872 = 233471999
BaseRepresentation
bin1000100110100000011000
311020120002210
420212200120
51034123442
6120155120
725110654
oct10464030
94216083
102254872
111300134
12908aa0
1360c459
14429a64
152e819c
hex226818

2254872 has 32 divisors (see below), whose sum is σ = 5760000. Its totient is φ = 735264.

The previous prime is 2254871. The next prime is 2254873. The reversal of 2254872 is 2784522.

It is an interprime number because it is at equal distance from previous prime (2254871) and next prime (2254873).

It is a d-powerful number, because it can be written as 212 + 217 + 54 + 45 + 84 + 75 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (180000).

22254872 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 2254872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880000).

2254872 is an abundant number, since it is smaller than the sum of its proper divisors (3505128).

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

2254872 is a wasteful number, since it uses less digits than its factorization.

2254872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2254872 is about 1501.6231218252. The cubic root of 2254872 is about 131.1315811719.

The spelling of 2254872 in words is "two million, two hundred fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1999 3998 5997 7996 11994 15992 23988 47976 93953 187906 281859 375812 563718 751624 1127436 2254872