Search a number
-
+
30229200 = 243552311
BaseRepresentation
bin111001101010…
…0001011010000
32002212210200000
41303110023100
530214313300
62555530000
7514641531
oct163241320
962783600
1030229200
1116077711
12a159900
136355401
14402c688
1529c1c00
hex1cd42d0

30229200 has 180 divisors, whose sum is σ = 109138848. Its totient is φ = 8035200.

The previous prime is 30229193. The next prime is 30229201. The reversal of 30229200 is 292203.

30229200 is a nontrivial binomial coefficient, being equal to C(7776, 2).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30229201) 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 35 ways as a sum of consecutive naturals, for example, 97045 + ... + 97355.

Almost surely, 230229200 is an apocalyptic number.

30229200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30229200 is the 7775-th triangular number and also the 3888-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54569424).

30229200 is an abundant number, since it is smaller than the sum of its proper divisors (78909648).

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

30229200 is a wasteful number, since it uses less digits than its factorization.

30229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30229200 is about 5498.1087657485. The cubic root of 30229200 is about 311.5125524512.

The spelling of 30229200 in words is "thirty million, two hundred twenty-nine thousand, two hundred".