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30225264 = 243531092
BaseRepresentation
bin111001101001…
…1001101110000
32002212121021020
41303103031300
530214202024
62555455440
7514624206
oct163231560
962777236
1030225264
1116074763
12a157580
136353694
14402b076
1529c0979
hex1cd3370

30225264 has 60 divisors (see below), whose sum is σ = 80291736. Its totient is φ = 9794304.

The previous prime is 30225233. The next prime is 30225271. The reversal of 30225264 is 46252203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277242 + ... + 277350.

Almost surely, 230225264 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 30225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40145868).

30225264 is an abundant number, since it is smaller than the sum of its proper divisors (50066472).

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

30225264 is a wasteful number, since it uses less digits than its factorization.

30225264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 30225264 is about 5497.7508128325. The cubic root of 30225264 is about 311.4990316763.

Adding to 30225264 its reverse (46252203), we get a palindrome (76477467).

The spelling of 30225264 in words is "thirty million, two hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 109 159 212 218 318 327 424 436 636 654 848 872 1272 1308 1744 2544 2616 5232 5777 11554 11881 17331 23108 23762 34662 35643 46216 47524 69324 71286 92432 95048 138648 142572 190096 277296 285144 570288 629693 1259386 1889079 2518772 3778158 5037544 7556316 10075088 15112632 30225264