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2239872 = 27319307
BaseRepresentation
bin1000100010110110000000
311012210112020
420202312000
51033133442
6120001440
725016145
oct10426600
94183466
102239872
11129a938
12900280
1360568b
144243cc
152e39ec
hex222d80

2239872 has 64 divisors (see below), whose sum is σ = 6283200. Its totient is φ = 705024.

The previous prime is 2239847. The next prime is 2239883. The reversal of 2239872 is 2789322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 7143 + ... + 7449.

It is an arithmetic number, because the mean of its divisors is an integer number (98175).

22239872 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 2239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141600).

2239872 is an abundant number, since it is smaller than the sum of its proper divisors (4043328).

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

2239872 is a wasteful number, since it uses less digits than its factorization.

2239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2239872 is about 1496.6201923000. The cubic root of 2239872 is about 130.8401601191.

The spelling of 2239872 in words is "two million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 307 384 456 608 614 912 921 1216 1228 1824 1842 2432 2456 3648 3684 4912 5833 7296 7368 9824 11666 14736 17499 19648 23332 29472 34998 39296 46664 58944 69996 93328 117888 139992 186656 279984 373312 559968 746624 1119936 2239872