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2230128 = 243217911
BaseRepresentation
bin1000100000011101110000
311012022011100
420200131300
51032331003
6115444400
724645555
oct10403560
94168140
102230128
11129358a
128b6700
13601104
14420a2c
152e0ba3
hex220770

2230128 has 60 divisors (see below), whose sum is σ = 6615648. Its totient is φ = 698880.

The previous prime is 2230121. The next prime is 2230133. The reversal of 2230128 is 8210322.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2230128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993 + ... + 2903.

22230128 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 2230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824).

2230128 is an abundant number, since it is smaller than the sum of its proper divisors (4385520).

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

2230128 is a wasteful number, since it uses less digits than its factorization.

2230128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2230128 is about 1493.3613092618. The cubic root of 2230128 is about 130.6501552555.

The spelling of 2230128 in words is "two million, two hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 911 1224 1822 2448 2733 3644 5466 7288 8199 10932 14576 15487 16398 21864 30974 32796 43728 46461 61948 65592 92922 123896 131184 139383 185844 247792 278766 371688 557532 743376 1115064 2230128