Search a number
-
+
222121100 = 225217912409
BaseRepresentation
bin11010011110101…
…00110010001100
3120110221220212102
431033110302030
5423330333400
634012454232
75334666245
oct1517246214
9513856772
10222121100
11104421963
126247a378
1337031006
14216ddccc
15147789d5
hexd3d4c8c

222121100 has 36 divisors (see below), whose sum is σ = 484734600. Its totient is φ = 88344960.

The previous prime is 222121093. The next prime is 222121117. The reversal of 222121100 is 1121222.

It is a happy number.

222121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11696 + ... + 24104.

It is an arithmetic number, because the mean of its divisors is an integer number (13464850).

Almost surely, 2222121100 is an apocalyptic number.

222121100 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 222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242367300).

222121100 is an abundant number, since it is smaller than the sum of its proper divisors (262613500).

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

222121100 is a wasteful number, since it uses less digits than its factorization.

222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12602 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 222121100 is about 14903.7277216138. The cubic root of 222121100 is about 605.6149747017.

Adding to 222121100 its reverse (1121222), we get a palindrome (223242322).

The spelling of 222121100 in words is "two hundred twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 8950 12409 17900 24818 49636 62045 124090 248180 310225 620450 1240900 2221211 4442422 8884844 11106055 22212110 44424220 55530275 111060550 222121100