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30208900 = 22521811669
BaseRepresentation
bin111001100111…
…1001110000100
32002211202211011
41303033032010
530213141100
62555252004
7514525411
oct163171604
962752734
1030208900
1116063437
12a14a004
1363490b7
144025108
1529babba
hex1ccf384

30208900 has 36 divisors (see below), whose sum is σ = 65954980. Its totient is φ = 12009600.

The previous prime is 30208877. The next prime is 30208901. The reversal of 30208900 is 980203.

It can be written as a sum of positive squares in 6 ways, for example, as 6081156 + 24127744 = 2466^2 + 4912^2 .

It is not an unprimeable number, because it can be changed into a prime (30208901) by changing a digit.

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, 17266 + ... + 18934.

Almost surely, 230208900 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 30208900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32977490).

30208900 is an abundant number, since it is smaller than the sum of its proper divisors (35746080).

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

30208900 is a wasteful number, since it uses less digits than its factorization.

30208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 30208900 is about 5496.2623663723. The cubic root of 30208900 is about 311.4428061918.

The spelling of 30208900 in words is "thirty million, two hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1669 1810 3338 3620 4525 6676 8345 9050 16690 18100 33380 41725 83450 166900 302089 604178 1208356 1510445 3020890 6041780 7552225 15104450 30208900