Search a number
-
+
222103200 = 253521147179
BaseRepresentation
bin11010011110100…
…00011010100000
3120110221000022110
431033100122200
5423324300300
634012235320
75334563124
oct1517203240
9513830273
10222103200
1110440a470
126246bb40
1337025b17
14216d7584
1514773550
hexd3d06a0

222103200 has 288 divisors, whose sum is σ = 809948160. Its totient is φ = 52403200.

The previous prime is 222103187. The next prime is 222103229. The reversal of 222103200 is 2301222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240711 + ... + 1240889.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2222103200 is an apocalyptic number.

222103200 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 222103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

222103200 is an abundant number, since it is smaller than the sum of its proper divisors (587844960).

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

222103200 is a wasteful number, since it uses less digits than its factorization.

222103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 222103200 is about 14903.1271886138. The cubic root of 222103200 is about 605.5987060997.

Adding to 222103200 its reverse (2301222), we get a palindrome (224404422).

The spelling of 222103200 in words is "two hundred twenty-two million, one hundred three thousand, two hundred".