Search a number
-
+
2206368 = 253247163
BaseRepresentation
bin1000011010101010100000
311011002120100
420122222200
51031100433
6115142400
724516363
oct10325240
94132510
102206368
11127774a
128a4a00
135c3358
144160da
152d8b13
hex21aaa0

2206368 has 72 divisors (see below), whose sum is σ = 6447168. Its totient is φ = 715392.

The previous prime is 2206357. The next prime is 2206387. The reversal of 2206368 is 8636022.

2206368 is a `hidden beast` number, since 2 + 20 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13455 + ... + 13617.

It is an arithmetic number, because the mean of its divisors is an integer number (89544).

22206368 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 2206368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223584).

2206368 is an abundant number, since it is smaller than the sum of its proper divisors (4240800).

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

2206368 is a wasteful number, since it uses less digits than its factorization.

2206368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2206368 is about 1485.3847986296. The cubic root of 2206368 is about 130.1845111719.

The spelling of 2206368 in words is "two million, two hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 163 188 282 288 326 376 423 489 564 652 752 846 978 1128 1304 1467 1504 1692 1956 2256 2608 2934 3384 3912 4512 5216 5868 6768 7661 7824 11736 13536 15322 15648 22983 23472 30644 45966 46944 61288 68949 91932 122576 137898 183864 245152 275796 367728 551592 735456 1103184 2206368