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220211232030 = 232531151522707
BaseRepresentation
bin1100110100010110011…
…1001011110100011110
3210001101220021122121200
43031011213023310132
512101443033411110
6245055202540330
721624016405506
oct3150547136436
9701356248550
10220211232030
1185433554a49
12368183676a6
13179c56b467a
14a930470a06
155adca176c0
hex33459cbd1e

220211232030 has 96 divisors (see below), whose sum is σ = 594933700608. Its totient is φ = 56452248000.

The previous prime is 220211232029. The next prime is 220211232037. The reversal of 220211232030 is 30232112022.

220211232030 is a `hidden beast` number, since 2 + 202 + 112 + 320 + 30 = 666.

220211232030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220211231994 and 220211232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211232037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159937 + ... + 682643.

It is an arithmetic number, because the mean of its divisors is an integer number (6197226048).

Almost surely, 2220211232030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220211232030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297466850304).

220211232030 is an abundant number, since it is smaller than the sum of its proper divisors (374722468578).

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

220211232030 is a wasteful number, since it uses less digits than its factorization.

220211232030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522902 (or 522899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220211232030 its reverse (30232112022), we get a palindrome (250443344052).

The spelling of 220211232030 in words is "two hundred twenty billion, two hundred eleven million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 151 155 186 279 302 310 453 465 558 755 906 930 1359 1395 1510 2265 2718 2790 4530 4681 6795 9362 13590 14043 23405 28086 42129 46810 70215 84258 140430 210645 421290 522707 1045414 1568121 2613535 3136242 4704363 5227070 7840605 9408726 15681210 16203917 23521815 32407834 47043630 48611751 78928757 81019585 97223502 145835253 157857514 162039170 236786271 243058755 291670506 394643785 473572542 486117510 710358813 729176265 789287570 1183931355 1420717626 1458352530 2367862710 2446791467 3551794065 4893582934 7103588130 7340374401 12233957335 14680748802 22021123203 24467914670 36701872005 44042246406 73403744010 110105616015 220211232030