Search a number
-
+
20705236227 = 33132947113383
BaseRepresentation
bin10011010010001000…
…001101010100000011
31222102222112222111000
4103102020031110003
5314401020024402
613302321023043
71332044414124
oct232210152403
958388488430
1020705236227
118865625485
12401a184a83
131c4c82b490
141005c2404b
15812b24c1c
hex4d220d503

20705236227 has 128 divisors (see below), whose sum is σ = 35300966400. Its totient is φ = 11902851072.

The previous prime is 20705236199. The next prime is 20705236247. The reversal of 20705236227 is 72263250702.

20705236227 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 5 + 23 + 622 + 7 = 666.

It is not a de Polignac number, because 20705236227 - 216 = 20705170691 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20705236191 and 20705236200.

It is not an unprimeable number, because it can be changed into a prime (20705236247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54060478 + ... + 54060860.

It is an arithmetic number, because the mean of its divisors is an integer number (275788800).

Almost surely, 220705236227 is an apocalyptic number.

20705236227 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20705236227 is a deficient number, since it is larger than the sum of its proper divisors (14595730173).

20705236227 is a wasteful number, since it uses less digits than its factorization.

20705236227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 20705236227 its reverse (72263250702), we get a palindrome (92968486929).

The spelling of 20705236227 in words is "twenty billion, seven hundred five million, two hundred thirty-six thousand, two hundred twenty-seven".

Divisors: 1 3 9 13 27 29 39 47 87 113 117 141 261 339 351 377 383 423 611 783 1017 1131 1149 1269 1363 1469 1833 3051 3277 3393 3447 4089 4407 4979 5311 5499 9831 10179 10341 11107 12267 13221 14937 15933 16497 17719 18001 29493 33321 36801 39663 42601 43279 44811 47799 53157 54003 69043 88479 99963 127803 129837 134433 143397 144391 154019 159471 162009 207129 234013 299889 383409 389511 433173 462057 478413 486027 522029 562627 621387 702039 1150227 1168533 1255091 1299519 1386171 1566087 1687881 1864161 2002247 2034113 2106117 3765273 3898557 4158513 4698261 5063643 6006741 6102339 6318351 6786377 11295819 14094783 15190929 16316183 18020223 18307017 20359131 26443469 33887457 48948549 54060669 54921051 58989277 61077393 79330407 146845647 176967831 183232179 237991221 440536941 530903493 713973663 766860601 1592710479 2300581803 6901745409 20705236227