Search a number
-
+
222406000 = 2453611823
BaseRepresentation
bin11010100000110…
…10010101110000
3120111111101200021
431100122111300
5423413443000
634022533224
75340263665
oct1520322560
9514441607
10222406000
111045a6a13
1262597214
13371008ab
1421775a6c
15147d311a
hexd41a570

222406000 has 80 divisors (see below), whose sum is σ = 546893568. Its totient is φ = 87456000.

The previous prime is 222405983. The next prime is 222406007. The reversal of 222406000 is 604222.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222406007) 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, 121089 + ... + 122911.

Almost surely, 2222406000 is an apocalyptic number.

222406000 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 222406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273446784).

222406000 is an abundant number, since it is smaller than the sum of its proper divisors (324487568).

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

222406000 is a wasteful number, since it uses less digits than its factorization.

222406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 222406000 is about 14913.2826701568. The cubic root of 222406000 is about 605.8737914618.

The spelling of 222406000 in words is "two hundred twenty-two million, four hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 1823 2000 2440 3050 3646 4880 6100 7292 7625 9115 12200 14584 15250 18230 24400 29168 30500 36460 45575 61000 72920 91150 111203 122000 145840 182300 222406 227875 364600 444812 455750 556015 729200 889624 911500 1112030 1779248 1823000 2224060 2780075 3646000 4448120 5560150 8896240 11120300 13900375 22240600 27800750 44481200 55601500 111203000 222406000