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2285140 = 22511131747
BaseRepresentation
bin1000101101111001010100
311022002121211
420231321110
51041111030
6120551204
725265134
oct10557124
94262554
102285140
111320950
12922504
13620170
14436ac4
1530212a
hex22de54

2285140 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 706560.

The previous prime is 2285131. The next prime is 2285141. The reversal of 2285140 is 415822.

2285140 = T232 + T233 + ... + T296.

2285140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285141) 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 31 ways as a sum of consecutive naturals, for example, 48597 + ... + 48643.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22285140 is an apocalyptic number.

2285140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2285140 is an abundant number, since it is smaller than the sum of its proper divisors (3811244).

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

2285140 is a wasteful number, since it uses less digits than its factorization.

2285140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2285140 is about 1511.6679529579. The cubic root of 2285140 is about 131.7157181622.

It can be divided in two parts, 22 and 85140, that multiplied together give a triangular number (1873080 = T1935).

The spelling of 2285140 in words is "two million, two hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 47 52 55 65 68 85 94 110 130 143 170 187 188 220 221 235 260 286 340 374 442 470 517 572 611 715 748 799 884 935 940 1034 1105 1222 1430 1598 1870 2068 2210 2431 2444 2585 2860 3055 3196 3740 3995 4420 4862 5170 6110 6721 7990 8789 9724 10340 10387 12155 12220 13442 15980 17578 20774 24310 26884 33605 35156 41548 43945 48620 51935 67210 87890 103870 114257 134420 175780 207740 228514 457028 571285 1142570 2285140