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221130030 = 235112932287
BaseRepresentation
bin11010010111000…
…10110100101110
3120102002120101010
431023202310232
5423102130110
633535330050
75323400652
oct1513426456
9512076333
10221130030
111039052a0
1262080926
1336a74b94
1421522a62
1514630020
hexd2e2d2e

221130030 has 64 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 53400960.

The previous prime is 221130001. The next prime is 221130031. The reversal of 221130030 is 30031122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221129988 and 221130015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221130031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95547 + ... + 97833.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2221130030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

221130030 is an abundant number, since it is smaller than the sum of its proper divisors (360058578).

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

221130030 is a wasteful number, since it uses less digits than its factorization.

221130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601.

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

The square root of 221130030 is about 14870.4414863850. The cubic root of 221130030 is about 604.7129116243.

Adding to 221130030 its reverse (30031122), we get a palindrome (251161152).

The spelling of 221130030 in words is "two hundred twenty-one million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 293 330 586 879 1465 1758 2287 2930 3223 4395 4574 6446 6861 8790 9669 11435 13722 16115 19338 22870 25157 32230 34305 48345 50314 68610 75471 96690 125785 150942 251570 377355 670091 754710 1340182 2010273 3350455 4020546 6700910 7371001 10051365 14742002 20102730 22113003 36855005 44226006 73710010 110565015 221130030