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2223072 = 25333183
BaseRepresentation
bin1000011110101111100000
311011221111000
420132233200
51032114242
6115352000
724616155
oct10365740
94157430
102223072
111289255
128b2600
135cab37
1441c22c
152dda4c
hex21ebe0

2223072 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 708480.

The previous prime is 2223059. The next prime is 2223079. The reversal of 2223072 is 2703222.

2223072 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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223079) 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, 26743 + ... + 26825.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22223072 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 2223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2223072 is an abundant number, since it is smaller than the sum of its proper divisors (4550688).

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

2223072 is a wasteful number, since it uses less digits than its factorization.

2223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2223072 is about 1490.9969818883. The cubic root of 2223072 is about 130.5122197568.

Adding to 2223072 its reverse (2703222), we get a palindrome (4926294).

The spelling of 2223072 in words is "two million, two hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 83 93 96 108 124 144 166 186 216 248 249 279 288 332 372 432 496 498 558 664 744 747 837 864 992 996 1116 1328 1488 1494 1674 1992 2232 2241 2573 2656 2976 2988 3348 3984 4464 4482 5146 5976 6696 7719 7968 8928 8964 10292 11952 13392 15438 17928 20584 23157 23904 26784 30876 35856 41168 46314 61752 69471 71712 82336 92628 123504 138942 185256 247008 277884 370512 555768 741024 1111536 2223072