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30225216 = 263743523
BaseRepresentation
bin111001101001…
…1001101000000
32002212121012110
41303103031000
530214201331
62555455320
7514624110
oct163231500
962777173
1030225216
111607471a
12a157540
136353658
14402b040
1529c0946
hex1cd3340

30225216 has 112 divisors (see below), whose sum is σ = 93699584. Its totient is φ = 8418816.

The previous prime is 30225199. The next prime is 30225227. The reversal of 30225216 is 61252203.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 30225192 and 30225201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57531 + ... + 58053.

Almost surely, 230225216 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 30225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46849792).

30225216 is an abundant number, since it is smaller than the sum of its proper divisors (63474368).

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

30225216 is a wasteful number, since it uses less digits than its factorization.

30225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 30225216 is about 5497.7464474092. The cubic root of 30225216 is about 311.4988667816.

Adding to 30225216 its reverse (61252203), we get a palindrome (91477419).

The spelling of 30225216 in words is "thirty million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 523 602 672 688 903 1032 1046 1204 1344 1376 1569 1806 2064 2092 2408 2752 3138 3612 3661 4128 4184 4816 6276 7224 7322 8256 8368 9632 10983 12552 14448 14644 16736 19264 21966 22489 25104 28896 29288 33472 43932 44978 50208 57792 58576 67467 87864 89956 100416 117152 134934 157423 175728 179912 234304 269868 314846 351456 359824 472269 539736 629692 702912 719648 944538 1079472 1259384 1439296 1889076 2158944 2518768 3778152 4317888 5037536 7556304 10075072 15112608 30225216