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2270928 = 2431121723
BaseRepresentation
bin1000101010011011010000
311021101010110
420222123100
51040132203
6120401320
725205532
oct10523320
94241113
102270928
111311200
12916240
1361685a
14431852
152ecd03
hex22a6d0

2270928 has 120 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 619520.

The previous prime is 2270921. The next prime is 2270929. The reversal of 2270928 is 8290722.

It is a super-2 number, since 2×22709282 = 10314227962368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2270895 and 2270904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98725 + ... + 98747.

22270928 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 2270928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2270928 is an abundant number, since it is smaller than the sum of its proper divisors (4853616).

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

2270928 is a wasteful number, since it uses less digits than its factorization.

2270928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2270928 is about 1506.9598534798. The cubic root of 2270928 is about 131.4420897068.

The spelling of 2270928 in words is "two million, two hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 23 24 33 34 44 46 48 51 66 68 69 88 92 102 121 132 136 138 176 184 187 204 242 253 264 272 276 363 368 374 391 408 484 506 528 552 561 726 748 759 782 816 968 1012 1104 1122 1173 1452 1496 1518 1564 1936 2024 2057 2244 2346 2783 2904 2992 3036 3128 4048 4114 4301 4488 4692 5566 5808 6072 6171 6256 8228 8349 8602 8976 9384 11132 12144 12342 12903 16456 16698 17204 18768 22264 24684 25806 32912 33396 34408 44528 47311 49368 51612 66792 68816 94622 98736 103224 133584 141933 189244 206448 283866 378488 567732 756976 1135464 2270928