Search a number
-
+
22201000 = 23531492
BaseRepresentation
bin101010010110…
…0001010101000
31112202221001021
41110230022220
521140413000
62111502224
7356463643
oct124541250
945687037
1022201000
1111593a38
127527974
1347a41b3
142d3ca5a
151e3811a
hex152c2a8

22201000 has 48 divisors (see below), whose sum is σ = 52301340. Its totient is φ = 8820800.

The previous prime is 22200947. The next prime is 22201001. The reversal of 22201000 is 10222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1425636 + 20775364 = 1194^2 + 4558^2 .

It is not an unprimeable number, because it can be changed into a prime (22201001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148926 + ... + 149074.

Almost surely, 222201000 is an apocalyptic number.

22201000 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 22201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150670).

22201000 is an abundant number, since it is smaller than the sum of its proper divisors (30100340).

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

22201000 is an equidigital number, since it uses as much as digits as its factorization.

22201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 22201000 is about 4711.7937136509. The cubic root of 22201000 is about 281.0546956848.

Adding to 22201000 its reverse (10222), we get a palindrome (22211222).

The spelling of 22201000 in words is "twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18625 22201 29800 37250 44402 74500 88804 111005 149000 177608 222010 444020 555025 888040 1110050 2220100 2775125 4440200 5550250 11100500 22201000