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30232224 = 2533113181
BaseRepresentation
bin111001101010…
…0111010100000
32002212221211000
41303110322200
530214412344
62555552000
7514653411
oct163247240
962787730
1030232224
1116079a10
12a15b600
1363568b9
14402d808
1529c2a69
hex1cd4ea0

30232224 has 96 divisors (see below), whose sum is σ = 96223680. Its totient is φ = 9158400.

The previous prime is 30232193. The next prime is 30232231. The reversal of 30232224 is 42223203.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 30232197 and 30232206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7914 + ... + 11094.

It is an arithmetic number, because the mean of its divisors is an integer number (1002330).

Almost surely, 230232224 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 30232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48111840).

30232224 is an abundant number, since it is smaller than the sum of its proper divisors (65991456).

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

30232224 is a wasteful number, since it uses less digits than its factorization.

30232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 30232224 is about 5498.3837625251. The cubic root of 30232224 is about 311.5229395664.

Adding to 30232224 its reverse (42223203), we get a palindrome (72455427).

The spelling of 30232224 in words is "thirty million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 3181 4752 6362 9504 9543 12724 19086 25448 28629 34991 38172 50896 57258 69982 76344 85887 101792 104973 114516 139964 152688 171774 209946 229032 279928 305376 314919 343548 419892 458064 559856 629838 687096 839784 916128 944757 1119712 1259676 1374192 1679568 1889514 2519352 2748384 3359136 3779028 5038704 7558056 10077408 15116112 30232224