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2239264 = 251929127
BaseRepresentation
bin1000100010101100100000
311012202200201
420202230200
51033124024
6115554544
725014316
oct10425440
94182621
102239264
11129a435
128bba54
13605311
144240b6
152e3744
hex222b20

2239264 has 48 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 1016064.

The previous prime is 2239253. The next prime is 2239301. The reversal of 2239264 is 4629322.

2239264 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 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, 17569 + ... + 17695.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22239264 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 2239264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2239264 is an abundant number, since it is smaller than the sum of its proper divisors (2599136).

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

2239264 is a wasteful number, since it uses less digits than its factorization.

2239264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 2239264 is about 1496.4170541664. The cubic root of 2239264 is about 130.8283204520.

The spelling of 2239264 in words is "two million, two hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 127 152 232 254 304 464 508 551 608 928 1016 1102 2032 2204 2413 3683 4064 4408 4826 7366 8816 9652 14732 17632 19304 29464 38608 58928 69977 77216 117856 139954 279908 559816 1119632 2239264