[go: up one dir, main page]

Search a number
-
+
2222100 = 223352823
BaseRepresentation
bin1000011110100000010100
311011220011000
420132200110
51032101400
6115343300
724613266
oct10364024
94156130
102222100
111288551
128b1b30
135ca56a
1441bb36
152dd600
hex21e814

2222100 has 72 divisors (see below), whose sum is σ = 7152320. Its totient is φ = 591840.

The previous prime is 2222093. The next prime is 2222123. The reversal of 2222100 is 12222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289 + ... + 3111.

22222100 is an apocalyptic number.

2222100 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 2222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576160).

2222100 is an abundant number, since it is smaller than the sum of its proper divisors (4930220).

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

2222100 is a wasteful number, since it uses less digits than its factorization.

2222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2222100 is about 1490.6709898566. The cubic root of 2222100 is about 130.4931955760.

Adding to 2222100 its reverse (12222), we get a palindrome (2234322).

It can be divided in two parts, 22 and 22100, that added together give a palindrome (22122).

The spelling of 2222100 in words is "two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 823 900 1350 1646 2469 2700 3292 4115 4938 7407 8230 9876 12345 14814 16460 20575 22221 24690 29628 37035 41150 44442 49380 61725 74070 82300 88884 111105 123450 148140 185175 222210 246900 370350 444420 555525 740700 1111050 2222100