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30213216 = 2533112172
BaseRepresentation
bin111001101000…
…0010001100000
32002211222202000
41303100101200
530213310331
62555324000
7514544115
oct163202140
962758660
1030213216
1116066700
12a150600
13634b057
14402690c
1529bc0e6
hex1cd0460

30213216 has 216 divisors, whose sum is σ = 102894120. Its totient is φ = 8616960.

The previous prime is 30213203. The next prime is 30213217. The reversal of 30213216 is 61231203.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1777240 + ... + 1777256.

Almost surely, 230213216 is an apocalyptic number.

30213216 is a gapful number since it is divisible by the number (36) 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 30213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51447060).

30213216 is an abundant number, since it is smaller than the sum of its proper divisors (72680904).

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

30213216 is a wasteful number, since it uses less digits than its factorization.

30213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30213216 is about 5496.6549828055. The cubic root of 30213216 is about 311.4576376172.

Multiplying 30213216 by its product of nonzero digits (216), we get a square (6526054656 = 807842).

30213216 divided by its product of nonzero digits (216) gives a square (139876 = 3742).

Adding to 30213216 its reverse (61231203), we get a palindrome (91444419).

The spelling of 30213216 in words is "thirty million, two hundred thirteen thousand, two hundred sixteen".