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2220300030 = 2351322915101
BaseRepresentation
bin1000010001010111…
…0001011011111110
312201201212221001110
42010111301123332
514021344100110
61004152422450
7106010144634
oct20425613376
95651787043
102220300030
11a3a335303
1251b6a7a26
13294cbb500
14170c43354
15cedcba20
hex845716fe

2220300030 has 96 divisors (see below), whose sum is σ = 5969518560. Its totient is φ = 527654400.

The previous prime is 2220300029. The next prime is 2220300083. The reversal of 2220300030 is 300030222.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220299979 and 2220300015.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 139480 + ... + 154580.

It is an arithmetic number, because the mean of its divisors is an integer number (62182485).

Almost surely, 22220300030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984759280).

2220300030 is an abundant number, since it is smaller than the sum of its proper divisors (3749218530).

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

2220300030 is a wasteful number, since it uses less digits than its factorization.

2220300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2220300030 is about 47120.0597410487. The cubic root of 2220300030 is about 1304.5795154453.

Adding to 2220300030 its reverse (300030222), we get a palindrome (2520330252).

The spelling of 2220300030 in words is "two billion, two hundred twenty million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 169 174 195 290 338 377 390 435 507 754 845 870 1014 1131 1690 1885 2262 2535 3770 4901 5070 5655 9802 11310 14703 15101 24505 29406 30202 45303 49010 73515 75505 90606 147030 151010 196313 226515 392626 437929 453030 588939 875858 981565 1177878 1313787 1963130 2189645 2552069 2627574 2944695 4379290 5104138 5693077 5889390 6568935 7656207 11386154 12760345 13137870 15312414 17079231 25520690 28465385 34158462 38281035 56930770 74010001 76562070 85396155 148020002 170792310 222030003 370050005 444060006 740100010 1110150015 2220300030