Search a number
-
+
2206440 = 23355227
BaseRepresentation
bin1000011010101011101000
311011002200000
420122223220
51031101230
6115143000
724516525
oct10325350
94132600
102206440
111277805
128a4a60
135c33b2
1441614c
152d8b60
hex21aae8

2206440 has 96 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 585792.

The previous prime is 2206439. The next prime is 2206441. The reversal of 2206440 is 446022.

2206440 is a `hidden beast` number, since 2 + 20 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2206439) and next prime (2206441).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2206441) 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, 9607 + ... + 9833.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

22206440 is an apocalyptic number.

2206440 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 2206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2206440 is an abundant number, since it is smaller than the sum of its proper divisors (5262840).

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

2206440 is a wasteful number, since it uses less digits than its factorization.

2206440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

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

The square root of 2206440 is about 1485.4090345760. The cubic root of 2206440 is about 130.1859272522.

The spelling of 2206440 in words is "two million, two hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 227 243 270 324 360 405 454 486 540 648 681 810 908 972 1080 1135 1215 1362 1620 1816 1944 2043 2270 2430 2724 3240 3405 4086 4540 4860 5448 6129 6810 8172 9080 9720 10215 12258 13620 16344 18387 20430 24516 27240 30645 36774 40860 49032 55161 61290 73548 81720 91935 110322 122580 147096 183870 220644 245160 275805 367740 441288 551610 735480 1103220 2206440