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2254368 = 253231021
BaseRepresentation
bin1000100110011000100000
311020112102010
420212120200
51034114433
6120152520
725106334
oct10463040
94215363
102254368
1112aa816
12908740
1360c15c
144297c4
152e7e63
hex226620

2254368 has 48 divisors (see below), whose sum is σ = 6181056. Its totient is φ = 718080.

The previous prime is 2254327. The next prime is 2254403. The reversal of 2254368 is 8634522.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 217 + 219 + 55 + 44 + 313 + 64 + 8 .

It is an unprimeable number.

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, 1698 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (128772).

22254368 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 2254368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528).

2254368 is an abundant number, since it is smaller than the sum of its proper divisors (3926688).

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

2254368 is a wasteful number, since it uses less digits than its factorization.

2254368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1049 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2254368 is about 1501.4552940398. The cubic root of 2254368 is about 131.1218104412.

The spelling of 2254368 in words is "two million, two hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1021 1104 2042 2208 3063 4084 6126 8168 12252 16336 23483 24504 32672 46966 49008 70449 93932 98016 140898 187864 281796 375728 563592 751456 1127184 2254368