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30218112 = 2732171543
BaseRepresentation
bin111001101000…
…1011110000000
32002212020110100
41303101132000
530213434422
62555402400
7514564311
oct163213600
962766410
1030218112
111606a351
12a153400
136350352
144028608
1529bd7ac
hex1cd1780

30218112 has 96 divisors (see below), whose sum is σ = 92130480. Its totient is φ = 9474048.

The previous prime is 30218101. The next prime is 30218137. The reversal of 30218112 is 21181203.

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 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 11 ways as a sum of consecutive naturals, for example, 18813 + ... + 20355.

Almost surely, 230218112 is an apocalyptic number.

30218112 is a gapful number since it is divisible by the number (32) 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 30218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46065240).

30218112 is an abundant number, since it is smaller than the sum of its proper divisors (61912368).

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

30218112 is a wasteful number, since it uses less digits than its factorization.

30218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 30218112 is about 5497.1003265358. The cubic root of 30218112 is about 311.4744604344.

Adding to 30218112 its reverse (21181203), we get a palindrome (51399315).

The spelling of 30218112 in words is "thirty million, two hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1543 1632 2176 2448 3086 3264 4629 4896 6172 6528 9258 9792 12344 13887 18516 19584 24688 26231 27774 37032 49376 52462 55548 74064 78693 98752 104924 111096 148128 157386 197504 209848 222192 236079 296256 314772 419696 444384 472158 592512 629544 839392 888768 944316 1259088 1678784 1777536 1888632 2518176 3357568 3777264 5036352 7554528 10072704 15109056 30218112