Search a number
-
+
222100212 = 223297189101
BaseRepresentation
bin11010011110011…
…11101011110100
3120110220212012210
431033033223310
5423324201322
634012213420
75334551325
oct1517175364
9513825183
10222100212
111044081a4
126246a270
1337024659
14216d644c
151477270c
hexd3cfaf4

222100212 has 96 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 68992000.

The previous prime is 222100211. The next prime is 222100231. The reversal of 222100212 is 212001222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222100211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2198962 + ... + 2199062.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2222100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

222100212 is an abundant number, since it is smaller than the sum of its proper divisors (333106188).

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

222100212 is a wasteful number, since it uses less digits than its factorization.

222100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 222100212 is about 14903.0269408600. The cubic root of 222100212 is about 605.5959903396.

Adding to 222100212 its reverse (212001222), we get a palindrome (434101434).

The spelling of 222100212 in words is "two hundred twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 71 87 89 101 116 142 174 178 202 213 267 284 303 348 356 404 426 534 606 852 1068 1212 2059 2581 2929 4118 5162 5858 6177 6319 7171 7743 8236 8787 8989 10324 11716 12354 12638 14342 15486 17574 17978 18957 21513 24708 25276 26967 28684 30972 35148 35956 37914 43026 53934 75828 86052 107868 183251 207959 260681 366502 415918 521362 549753 623877 638219 733004 782043 831836 1042724 1099506 1247754 1276438 1564086 1914657 2199012 2495508 2552876 3128172 3829314 7658628 18508351 37016702 55525053 74033404 111050106 222100212