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30212200 = 2352295209
BaseRepresentation
bin111001101000…
…0000001101000
32002211221100101
41303100001220
530213242300
62555315144
7514541134
oct163200150
962757311
1030212200
1116065967
12a14bab4
13634a755
1440263c4
1529bbb6a
hex1cd0068

30212200 has 48 divisors (see below), whose sum is σ = 72679500. Its totient is φ = 11665920.

The previous prime is 30212167. The next prime is 30212209. The reversal of 30212200 is 221203.

It can be written as a sum of positive squares in 6 ways, for example, as 20811844 + 9400356 = 4562^2 + 3066^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (30212209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3196 + ... + 8404.

Almost surely, 230212200 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 30212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36339750).

30212200 is an abundant number, since it is smaller than the sum of its proper divisors (42467300).

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

30212200 is a wasteful number, since it uses less digits than its factorization.

30212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 30212200 is about 5496.5625621838. The cubic root of 30212200 is about 311.4541463801.

Adding to 30212200 its reverse (221203), we get a palindrome (30433403).

The spelling of 30212200 in words is "thirty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5209 5800 10418 20836 26045 41672 52090 104180 130225 151061 208360 260450 302122 520900 604244 755305 1041800 1208488 1510610 3021220 3776525 6042440 7553050 15106100 30212200