Search a number
-
+
2271040 = 26547151
BaseRepresentation
bin1000101010011101000000
311021101021121
420222131000
51040133130
6120402024
725206052
oct10523500
94241247
102271040
1113112a2
12916314
13616915
144318d2
152ecd7a
hex22a740

2271040 has 56 divisors (see below), whose sum is σ = 5559552. Its totient is φ = 883200.

The previous prime is 2271037. The next prime is 2271041. The reversal of 2271040 is 401722.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14965 + ... + 15115.

22271040 is an apocalyptic number.

2271040 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 2271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779776).

2271040 is an abundant number, since it is smaller than the sum of its proper divisors (3288512).

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

2271040 is a wasteful number, since it uses less digits than its factorization.

2271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2271040 is about 1506.9970139320. The cubic root of 2271040 is about 131.4442505374. Note that the first 3 decimals are identical.

Adding to 2271040 its reverse (401722), we get a palindrome (2672762).

The spelling of 2271040 in words is "two million, two hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 151 160 188 235 302 320 376 470 604 752 755 940 1208 1504 1510 1880 2416 3008 3020 3760 4832 6040 7097 7520 9664 12080 14194 15040 24160 28388 35485 48320 56776 70970 113552 141940 227104 283880 454208 567760 1135520 2271040