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220650030756 = 22327929912
BaseRepresentation
bin1100110101111111000…
…1000100011010100100
3210002112110221221022100
43031133301010122210
512103342401441011
6245210515532100
721640625213211
oct3153761043244
9702473857270
10220650030756
118563920aa21
123691b2ba030
1317a6558ba9c
14a972854b08
155b162e1d56
hex335fc446a4

220650030756 has 81 divisors (see below), whose sum is σ = 565474403403. Its totient is φ = 72545718960.

The previous prime is 220650030751. The next prime is 220650030787. The reversal of 220650030756 is 657030056022.

It is a happy number.

The square root of 220650030756 is 469734.

It is a perfect power (a square), and thus also a powerful number.

220650030756 is digitally balanced in base 2, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220650030756.

It is not an unprimeable number, because it can be changed into a prime (220650030751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222653421 + ... + 222654411.

Almost surely, 2220650030756 is an apocalyptic number.

220650030756 is the 469734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220650030756

220650030756 is an abundant number, since it is smaller than the sum of its proper divisors (344824372647).

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

220650030756 is an frugal number, since it uses more digits than its factorization.

220650030756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Multiplying 220650030756 by its sum of digits (36), we get a square (7943401107216 = 28184042).

220650030756 divided by its sum of digits (36) gives a square (6129167521 = 782892).

Adding to 220650030756 its reverse (657030056022), we get a palindrome (877680086778).

The spelling of 220650030756 in words is "two hundred twenty billion, six hundred fifty million, thirty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 991 1422 1982 2844 2973 3964 5946 6241 8919 11892 12482 17838 18723 24964 35676 37446 56169 74892 78289 112338 156578 224676 234867 313156 469734 704601 939468 982081 1409202 1964162 2818404 2946243 3928324 5892486 6184831 8838729 11784972 12369662 17677458 18554493 24739324 35354916 37108986 55663479 74217972 77584399 111326958 155168798 222653916 232753197 310337596 465506394 698259591 931012788 1396519182 2793038364 6129167521 12258335042 18387502563 24516670084 36775005126 55162507689 73550010252 110325015378 220650030756