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2253804 = 223723833
BaseRepresentation
bin1000100110001111101100
311020111122020
420212033230
51034110204
6120150140
725104600
oct10461754
94214566
102253804
1112aa353
12908350
1360bb17
14429500
152e7bd9
hex2263ec

2253804 has 36 divisors (see below), whose sum is σ = 6119064. Its totient is φ = 643776.

The previous prime is 2253803. The next prime is 2253821. The reversal of 2253804 is 4083522.

2253804 = 1902 + 1912 + ... + 2382.

2253804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 216 + 219 + 52 + 313 + 84 + 0 + 48 .

It is not an unprimeable number, because it can be changed into a prime (2253803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 2504.

It is an arithmetic number, because the mean of its divisors is an integer number (169974).

22253804 is an apocalyptic number.

It is an amenable number.

2253804 is an abundant number, since it is smaller than the sum of its proper divisors (3865260).

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

2253804 is a wasteful number, since it uses less digits than its factorization.

2253804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2253804 is about 1501.2674645112. The cubic root of 2253804 is about 131.1108748014.

The spelling of 2253804 in words is "two million, two hundred fifty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 3833 7666 11499 15332 22998 26831 45996 53662 80493 107324 160986 187817 321972 375634 563451 751268 1126902 2253804