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2264040 = 2332519331
BaseRepresentation
bin1000101000101111101000
311021000200100
420220233220
51034422130
6120305400
725146462
oct10505750
94230610
102264040
111307009
12912260
1361368c
1442d132
152eac60
hex228be8

2264040 has 96 divisors (see below), whose sum is σ = 7768800. Its totient is φ = 570240.

The previous prime is 2264027. The next prime is 2264057. The reversal of 2264040 is 404622.

2264040 is a `hidden beast` number, since 22 + 640 + 4 + 0 = 666.

2264040 is digitally balanced in base 5, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6675 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (80925).

22264040 is an apocalyptic number.

2264040 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 2264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884400).

2264040 is an abundant number, since it is smaller than the sum of its proper divisors (5504760).

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

2264040 is a wasteful number, since it uses less digits than its factorization.

2264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2264040 is about 1504.6727218900. The cubic root of 2264040 is about 131.3090618538.

Adding to 2264040 its reverse (404622), we get a palindrome (2668662).

The spelling of 2264040 in words is "two million, two hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 331 342 360 380 456 570 662 684 760 855 993 1140 1324 1368 1655 1710 1986 2280 2648 2979 3310 3420 3972 4965 5958 6289 6620 6840 7944 9930 11916 12578 13240 14895 18867 19860 23832 25156 29790 31445 37734 39720 50312 56601 59580 62890 75468 94335 113202 119160 125780 150936 188670 226404 251560 283005 377340 452808 566010 754680 1132020 2264040