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30413232220 = 22571765919391
BaseRepresentation
bin11100010100110001…
…010001100001011100
32220111112212021102011
4130110301101201130
5444241241412340
621545513041004
72124445131340
oct342461214134
986445767364
1030413232220
1111997527568
125a893b6164
132b38b8a4c7
141687295620
15bd00530ea
hex714c5185c

30413232220 has 96 divisors (see below), whose sum is σ = 77406658560. Its totient is φ = 9798620160.

The previous prime is 30413232173. The next prime is 30413232233. The reversal of 30413232220 is 2223231403.

It is a super-2 number, since 2×304132322202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30413232191 and 30413232200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558725 + ... + 1578115.

It is an arithmetic number, because the mean of its divisors is an integer number (806319360).

Almost surely, 230413232220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30413232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38703329280).

30413232220 is an abundant number, since it is smaller than the sum of its proper divisors (46993426340).

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

30413232220 is a wasteful number, since it uses less digits than its factorization.

30413232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083 (or 20081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30413232220 its reverse (2223231403), we get a palindrome (32636463623).

The spelling of 30413232220 in words is "thirty billion, four hundred thirteen million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 659 1190 1318 2380 2636 3295 4613 6590 9226 11203 13180 18452 19391 22406 23065 38782 44812 46130 56015 77564 78421 92260 96955 112030 135737 156842 193910 224060 271474 313684 329647 387820 392105 542948 659294 678685 784210 1318588 1357370 1568420 1648235 2307529 2714740 3296470 4615058 6592940 9230116 11537645 12778669 23075290 25557338 46150580 51114676 63893345 89450683 127786690 178901366 217237373 255573380 357802732 434474746 447253415 868949492 894506830 1086186865 1520661611 1789013660 2172373730 3041323222 4344747460 6082646444 7603308055 15206616110 30413232220