Search a number
-
+
20214220455 = 325111312892437
BaseRepresentation
bin10010110100110111…
…001000011010100111
31221011202121210110200
4102310313020122213
5312344320023310
613141500521543
71313633016222
oct226467103247
957152553420
1020214220455
118633445020
123b018502b3
131ba1ba07c0
14d9a92a5b9
157d49839c0
hex4b4dc86a7

20214220455 has 96 divisors (see below), whose sum is σ = 41212342080. Its totient is φ = 9036195840.

The previous prime is 20214220423. The next prime is 20214220457. The reversal of 20214220455 is 55402241202.

20214220455 is a `hidden beast` number, since 202 + 1 + 4 + 2 + 2 + 0 + 455 = 666.

It is not a de Polignac number, because 20214220455 - 25 = 20214220423 is a prime.

It is a super-2 number, since 2×202142204552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20214220457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8293497 + ... + 8295933.

It is an arithmetic number, because the mean of its divisors is an integer number (429295230).

Almost surely, 220214220455 is an apocalyptic number.

20214220455 is an abundant number, since it is smaller than the sum of its proper divisors (20998121625).

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

20214220455 is a wasteful number, since it uses less digits than its factorization.

20214220455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 20214220455 its reverse (55402241202), we get a palindrome (75616461657).

The spelling of 20214220455 in words is "twenty billion, two hundred fourteen million, two hundred twenty thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 1289 2145 2437 3867 6435 6445 7311 11601 12185 14179 16757 19335 21933 26807 31681 36555 42537 50271 58005 70895 80421 83785 95043 109665 127611 134035 150813 158405 184327 212685 241263 251355 285129 348491 402105 475215 552981 638055 754065 921635 1045473 1206315 1425645 1658943 1742455 2764905 3136419 3141293 5227365 8294715 9423879 15682095 15706465 28271637 34554223 40836809 47119395 103662669 122510427 141358185 172771115 204184045 310988007 367531281 449204899 518313345 612552135 1347614697 1554940035 1837656405 2246024495 4042844091 6738073485 20214220455