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30199552 = 28232223
BaseRepresentation
bin111001100110…
…0111100000000
32002211021222221
41303030330000
530212341202
62555140424
7514456225
oct163147400
962737887
1030199552
1116057409
12a144714
136344a76
14402194c
1529b8037
hex1cccf00

30199552 has 54 divisors (see below), whose sum is σ = 63298592. Its totient is φ = 14378496.

The previous prime is 30199541. The next prime is 30199553. The reversal of 30199552 is 25599103.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30199553) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 135313 + ... + 135535.

Almost surely, 230199552 is an apocalyptic number.

30199552 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 30199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31649296).

30199552 is an abundant number, since it is smaller than the sum of its proper divisors (33099040).

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

30199552 is an equidigital number, since it uses as much as digits as its factorization.

30199552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 30199552 is about 5495.4119044891. The cubic root of 30199552 is about 311.4106780474.

The spelling of 30199552 in words is "thirty million, one hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 223 256 368 446 529 736 892 1058 1472 1784 2116 2944 3568 4232 5129 5888 7136 8464 10258 14272 16928 20516 28544 33856 41032 57088 67712 82064 117967 135424 164128 235934 328256 471868 656512 943736 1313024 1887472 3774944 7549888 15099776 30199552