Search a number
-
+
22286000 = 2453111013
BaseRepresentation
bin101010100000…
…0111010110000
31112221020122102
41111000322300
521201123000
62113355532
7360266522
oct125007260
945836572
1022286000
1111641890
127568ba8
134803aa9
142d61a12
151e533d5
hex1540eb0

22286000 has 80 divisors (see below), whose sum is σ = 58844448. Its totient is φ = 8096000.

The previous prime is 22285981. The next prime is 22286003. The reversal of 22286000 is 68222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22286003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21494 + ... + 22506.

Almost surely, 222286000 is an apocalyptic number.

22286000 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 22286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29422224).

22286000 is an abundant number, since it is smaller than the sum of its proper divisors (36558448).

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

22286000 is a wasteful number, since it uses less digits than its factorization.

22286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22286000 is about 4720.8050160963. The cubic root of 22286000 is about 281.4129261759.

It can be divided in two parts, 2228 and 6000, that added together give a palindrome (8228).

The spelling of 22286000 in words is "twenty-two million, two hundred eighty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1013 1100 1375 2000 2026 2200 2750 4052 4400 5065 5500 8104 10130 11000 11143 16208 20260 22000 22286 25325 40520 44572 50650 55715 81040 89144 101300 111430 126625 178288 202600 222860 253250 278575 405200 445720 506500 557150 891440 1013000 1114300 1392875 2026000 2228600 2785750 4457200 5571500 11143000 22286000