Search a number
-
+
30333100 = 22527172549
BaseRepresentation
bin111001110110…
…1100010101100
32010002002012011
41303231202230
530231124400
63002051004
7515553460
oct163554254
963062164
1030333100
1116138786
12a1a9a64
1363907a5
1440584a0
1529e28ba
hex1ced8ac

30333100 has 72 divisors (see below), whose sum is σ = 79682400. Its totient is φ = 9784320.

The previous prime is 30333091. The next prime is 30333131. The reversal of 30333100 is 133303.

It is a super-2 number, since 2×303331002 = 1840193911220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10626 + ... + 13174.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 230333100 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 30333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39841200).

30333100 is an abundant number, since it is smaller than the sum of its proper divisors (49349300).

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

30333100 is a wasteful number, since it uses less digits than its factorization.

30333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 30333100 is about 5507.5493642817. The cubic root of 30333100 is about 311.8690415768.

Adding to 30333100 its reverse (133303), we get a palindrome (30466403).

The spelling of 30333100 in words is "thirty million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2549 2975 5098 5950 10196 11900 12745 17843 25490 35686 43333 50980 63725 71372 86666 89215 127450 173332 178430 216665 254900 303331 356860 433330 446075 606662 866660 892150 1083325 1213324 1516655 1784300 2166650 3033310 4333300 6066620 7583275 15166550 30333100