Search a number
-
+
2287180 = 225717312
BaseRepresentation
bin1000101110011001001100
311022012102101
420232121030
51041142210
6121004444
725304110
oct10563114
94265371
102287180
111322435
12923724
1362107c
14437740
15302a3a
hex22e64c

2287180 has 72 divisors (see below), whose sum is σ = 6005664. Its totient is φ = 714240.

The previous prime is 2287177. The next prime is 2287183. The reversal of 2287180 is 817822.

It is an interprime number because it is at equal distance from previous prime (2287177) and next prime (2287183).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2287183) 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, 73765 + ... + 73795.

It is an arithmetic number, because the mean of its divisors is an integer number (83412).

22287180 is an apocalyptic number.

2287180 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 2287180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002832).

2287180 is an abundant number, since it is smaller than the sum of its proper divisors (3718484).

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

2287180 is a wasteful number, since it uses less digits than its factorization.

2287180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2287180 is about 1512.3425537887. The cubic root of 2287180 is about 131.7549017784.

The spelling of 2287180 in words is "two million, two hundred eighty-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 310 340 434 476 527 595 620 868 961 1054 1085 1190 1922 2108 2170 2380 2635 3689 3844 4340 4805 5270 6727 7378 9610 10540 13454 14756 16337 18445 19220 26908 32674 33635 36890 65348 67270 73780 81685 114359 134540 163370 228718 326740 457436 571795 1143590 2287180