Search a number
-
+
30225184 = 2511175051
BaseRepresentation
bin111001101001…
…1001100100000
32002212121011021
41303103030200
530214201214
62555455224
7514624033
oct163231440
962777137
1030225184
11160746a0
12a157514
136353632
14402b01a
1529c0924
hex1cd3320

30225184 has 48 divisors (see below), whose sum is σ = 68747616. Its totient is φ = 12928000.

The previous prime is 30225179. The next prime is 30225199. The reversal of 30225184 is 48152203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3459 + ... + 8509.

It is an arithmetic number, because the mean of its divisors is an integer number (1432242).

Almost surely, 230225184 is an apocalyptic number.

30225184 is a gapful number since it is divisible by the number (34) 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 30225184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34373808).

30225184 is an abundant number, since it is smaller than the sum of its proper divisors (38522432).

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

30225184 is a wasteful number, since it uses less digits than its factorization.

30225184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 30225184 is about 5497.7435371250. The cubic root of 30225184 is about 311.4987568517.

Adding to 30225184 its reverse (48152203), we get a palindrome (78377387).

The spelling of 30225184 in words is "thirty million, two hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5051 5984 10102 20204 40408 55561 80816 85867 111122 161632 171734 222244 343468 444488 686936 888976 944537 1373872 1777952 1889074 2747744 3778148 7556296 15112592 30225184