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2288216 = 237291409
BaseRepresentation
bin1000101110101001011000
311022020211202
420232221120
51041210331
6121013332
725310120
oct10565130
94266752
102288216
111323197
12924248
13621698
14437c80
15302ecb
hex22ea58

2288216 has 32 divisors (see below), whose sum is σ = 5076000. Its totient is φ = 946176.

The previous prime is 2288213. The next prime is 2288239. The reversal of 2288216 is 6128822.

It is a super-3 number, since 3×22882163 = 35942833307906585088, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288213) 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, 920 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (158625).

22288216 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 2288216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538000).

2288216 is an abundant number, since it is smaller than the sum of its proper divisors (2787784).

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

2288216 is a wasteful number, since it uses less digits than its factorization.

2288216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1447 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 2288216 is about 1512.6850300046. The cubic root of 2288216 is about 131.7747919888.

Subtracting 2288216 from its reverse (6128822), we obtain a triangular number (3840606 = T2771).

The spelling of 2288216 in words is "two million, two hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1409 1624 2818 5636 9863 11272 19726 39452 40861 78904 81722 163444 286027 326888 572054 1144108 2288216