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203422212 = 223372311699
BaseRepresentation
bin11000001111111…
…11101000000100
3112011202220211000
430013333220010
5404034002322
632104013300
75020026450
oct1407775004
9464686730
10203422212
11a4910134
1258161230
13331b4b96
141d033660
1512cd33ac
hexc1ffa04

203422212 has 96 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 55588896.

The previous prime is 203422169. The next prime is 203422213. The reversal of 203422212 is 212224302.

203422212 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (203422213) 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, 11539 + ... + 23237.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2203422212 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 203422212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

203422212 is an abundant number, since it is smaller than the sum of its proper divisors (425569788).

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

203422212 is a wasteful number, since it uses less digits than its factorization.

203422212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203422212 is about 14262.6158890997. The cubic root of 203422212 is about 588.1202378020.

Adding to 203422212 its reverse (212224302), we get a palindrome (415646514).

The spelling of 203422212 in words is "two hundred three million, four hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 11699 17388 23398 35097 46796 70194 81893 105291 140388 163786 210582 245679 269077 315873 327572 421164 491358 538154 631746 737037 807231 982716 1076308 1263492 1474074 1614462 1883539 2211111 2421693 2948148 3228924 3767078 4422222 4843386 5650617 7265079 7534156 8844444 9686772 11301234 14530158 16951851 22602468 29060316 33903702 50855553 67807404 101711106 203422212