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221013030 = 23572251599
BaseRepresentation
bin11010010110001…
…10010000100110
3120101212121212210
431023012100212
5423034404110
633533024250
75322402600
oct1513062046
9511777783
10221013030
111038353a7
1262025086
1336a33854
14214d2170
151460a520
hexd2c6426

221013030 has 96 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 50232000.

The previous prime is 221013029. The next prime is 221013047. The reversal of 221013030 is 30310122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221012997 and 221013015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368671 + ... + 369269.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2221013030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

221013030 is an abundant number, since it is smaller than the sum of its proper divisors (399511770).

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

221013030 is a wasteful number, since it uses less digits than its factorization.

221013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 221013030 is about 14866.5069871843. The cubic root of 221013030 is about 604.6062415163.

Adding to 221013030 its reverse (30310122), we get a palindrome (251323152).

The spelling of 221013030 in words is "two hundred twenty-one million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 251 294 490 502 599 735 753 1198 1255 1470 1506 1757 1797 2510 2995 3514 3594 3765 4193 5271 5990 7530 8386 8785 8985 10542 12299 12579 17570 17970 20965 24598 25158 26355 29351 36897 41930 52710 58702 61495 62895 73794 88053 122990 125790 146755 150349 176106 184485 293510 300698 368970 440265 451047 751745 880530 902094 1052443 1503490 2104886 2255235 3157329 4510470 5262215 6314658 7367101 10524430 14734202 15786645 22101303 31573290 36835505 44202606 73671010 110506515 221013030