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2207712 = 253132961
BaseRepresentation
bin1000011010111111100000
311011011102010
420122333200
51031121322
6115152520
724523323
oct10327740
94134363
102207712
111278761
128a5740
135c3b50
144167ba
152d920c
hex21afe0

2207712 has 96 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 645120.

The previous prime is 2207677. The next prime is 2207713. The reversal of 2207712 is 2177022.

2207712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2207713) 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 15 ways as a sum of consecutive naturals, for example, 36162 + ... + 36222.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

22207712 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 2207712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2207712 is an abundant number, since it is smaller than the sum of its proper divisors (4354368).

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

2207712 is a wasteful number, since it uses less digits than its factorization.

2207712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2207712 is about 1485.8371377779. The cubic root of 2207712 is about 130.2109395930.

The spelling of 2207712 in words is "two million, two hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 61 78 87 96 104 116 122 156 174 183 208 232 244 312 348 366 377 416 464 488 624 696 732 754 793 928 976 1131 1248 1392 1464 1508 1586 1769 1952 2262 2379 2784 2928 3016 3172 3538 4524 4758 5307 5856 6032 6344 7076 9048 9516 10614 12064 12688 14152 18096 19032 21228 22997 25376 28304 36192 38064 42456 45994 56608 68991 76128 84912 91988 137982 169824 183976 275964 367952 551928 735904 1103856 2207712