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30252222300 = 22352631159811
BaseRepresentation
bin11100001011001011…
…000100011101011100
32220002022220010022210
4130023023010131130
5443424032103200
621521522040420
72120451434556
oct341313043534
986068803283
1030252222300
1111914655413
125a434a9110
132b11705171
14166db424d6
15bc0d4b650
hex70b2c475c

30252222300 has 72 divisors (see below), whose sum is σ = 87669027712. Its totient is φ = 8054424000.

The previous prime is 30252222289. The next prime is 30252222307. The reversal of 30252222300 is 322225203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30252222307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109395 + ... + 269205.

Almost surely, 230252222300 is an apocalyptic number.

30252222300 is a gapful number since it is divisible by the number (30) 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 30252222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43834513856).

30252222300 is an abundant number, since it is smaller than the sum of its proper divisors (57416805412).

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

30252222300 is a wasteful number, since it uses less digits than its factorization.

30252222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160459 (or 160452 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 30252222300 its reverse (322225203), we get a palindrome (30574447503).

The spelling of 30252222300 in words is "thirty billion, two hundred fifty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 631 1262 1893 2524 3155 3786 6310 7572 9465 12620 15775 18930 31550 37860 47325 63100 94650 159811 189300 319622 479433 639244 799055 958866 1598110 1917732 2397165 3196220 3995275 4794330 7990550 9588660 11985825 15981100 23971650 47943300 100840741 201681482 302522223 403362964 504203705 605044446 1008407410 1210088892 1512611115 2016814820 2521018525 3025222230 5042037050 6050444460 7563055575 10084074100 15126111150 30252222300