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2014248 = 233234189
BaseRepresentation
bin111101011110000101000
310210100000210
413223300220
51003423443
6111101120
723056305
oct7536050
93710023
102014248
111156375
128117a0
13556a82
143a60ac
1529bc33
hex1ebc28

2014248 has 64 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 619520.

The previous prime is 2014237. The next prime is 2014267. The reversal of 2014248 is 8424102.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22588 + ... + 22676.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22014248 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 2014248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2014248 is an abundant number, since it is smaller than the sum of its proper divisors (3428952).

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

2014248 is a wasteful number, since it uses less digits than its factorization.

2014248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2014248 is about 1419.2420512372. The cubic root of 2014248 is about 126.2905865653.

The spelling of 2014248 in words is "two million, fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 89 92 123 138 164 178 184 246 267 276 328 356 492 534 552 712 943 984 1068 1886 2047 2136 2829 3649 3772 4094 5658 6141 7298 7544 8188 10947 11316 12282 14596 16376 21894 22632 24564 29192 43788 49128 83927 87576 167854 251781 335708 503562 671416 1007124 2014248