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2263068 = 2232371699
BaseRepresentation
bin1000101000100000011100
311020222100100
420220200130
51034404233
6120301100
725143603
oct10504034
94228310
102263068
111306305
12911790
136130c2
1442ca3a
152ea813
hex22881c

2263068 has 36 divisors (see below), whose sum is σ = 5878600. Its totient is φ = 733536.

The previous prime is 2263067. The next prime is 2263069. The reversal of 2263068 is 8603622.

2263068 is a `hidden beast` number, since 22 + 630 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2263067) and next prime (2263069).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 483 + ... + 2181.

22263068 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 2263068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939300).

2263068 is an abundant number, since it is smaller than the sum of its proper divisors (3615532).

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

2263068 is a wasteful number, since it uses less digits than its factorization.

2263068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2263068 is about 1504.3496933891. The cubic root of 2263068 is about 131.2902679165.

The spelling of 2263068 in words is "two million, two hundred sixty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1699 3398 5097 6796 10194 15291 20388 30582 61164 62863 125726 188589 251452 377178 565767 754356 1131534 2263068