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30212224 = 27724817
BaseRepresentation
bin111001101000…
…0000010000000
32002211221101021
41303100002000
530213242344
62555315224
7514541200
oct163200200
962757337
1030212224
1116065989
12a14bb14
13634a773
144026400
1529bbb84
hex1cd0080

30212224 has 48 divisors (see below), whose sum is σ = 70029630. Its totient is φ = 12945408.

The previous prime is 30212219. The next prime is 30212227. The reversal of 30212224 is 42221203.

It can be written as a sum of positive squares in only one way, i.e., 29506624 + 705600 = 5432^2 + 840^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30212198 and 30212207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30212227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3864 + ... + 8680.

Almost surely, 230212224 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 30212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35014815).

30212224 is an abundant number, since it is smaller than the sum of its proper divisors (39817406).

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

30212224 is an equidigital number, since it uses as much as digits as its factorization.

30212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 30212224 is about 5496.5647453660. The cubic root of 30212224 is about 311.4542288511.

Adding to 30212224 its reverse (42221203), we get a palindrome (72433427).

The spelling of 30212224 in words is "thirty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4817 6272 9634 19268 33719 38536 67438 77072 134876 154144 236033 269752 308288 472066 539504 616576 944132 1079008 1888264 2158016 3776528 4316032 7553056 15106112 30212224