Search a number
-
+
220784301309 = 31113837578191
BaseRepresentation
bin1100110110011111000…
…1010001010011111101
3210002212211121120212210
43031213301101103331
512104131240120214
6245232113451033
721644145411435
oct3154761212375
9702784546783
10220784301309
11856a7a89420
1236958270a79
1317a87341310
14a9866072c5
155b22eb5b59
hex3367c514fd

220784301309 has 64 divisors (see below), whose sum is σ = 350515888128. Its totient is φ = 121851475200.

The previous prime is 220784301307. The next prime is 220784301313. The reversal of 220784301309 is 903103487022.

It is not a de Polignac number, because 220784301309 - 21 = 220784301307 is a prime.

It is a super-2 number, since 2×2207843013092 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220784301307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26950404 + ... + 26958594.

It is an arithmetic number, because the mean of its divisors is an integer number (5476810752).

Almost surely, 2220784301309 is an apocalyptic number.

It is an amenable number.

220784301309 is a deficient number, since it is larger than the sum of its proper divisors (129731586819).

220784301309 is a wasteful number, since it uses less digits than its factorization.

220784301309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 220784301309 in words is "two hundred twenty billion, seven hundred eighty-four million, three hundred one thousand, three hundred nine".

Divisors: 1 3 11 13 33 39 83 143 249 429 757 913 1079 2271 2739 3237 8191 8327 9841 11869 24573 24981 29523 35607 62831 90101 106483 108251 188493 270303 319449 324753 679853 691141 816803 1171313 2039559 2073423 2450409 3513939 6200587 7478383 8838089 8984833 18601761 22435149 26514267 26954499 68206457 80607631 97218979 204619371 241822893 291656937 514648721 886683941 1543946163 2660051823 5661135931 6690433373 16983407793 20071300119 73594767103 220784301309