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20114226 = 232112931113
BaseRepresentation
bin100110010111…
…0101100110010
31101211220112100
41030232230302
520122123401
61555041230
7332653026
oct114565462
941756470
1020114226
1110399130
1268a0216
134223412
142958386
151b74b86
hex132eb32

20114226 has 96 divisors (see below), whose sum is σ = 51217920. Its totient is φ = 5644800.

The previous prime is 20114209. The next prime is 20114249. The reversal of 20114226 is 62241102.

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 = 20114199 and 20114208.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177946 + ... + 178058.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 220114226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

20114226 is an abundant number, since it is smaller than the sum of its proper divisors (31103694).

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

20114226 is a wasteful number, since it uses less digits than its factorization.

20114226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20114226 is about 4484.8886273797. Note that the first 3 decimals coincide. The cubic root of 20114226 is about 271.9575427531.

Adding to 20114226 its reverse (62241102), we get a palindrome (82355328).

The spelling of 20114226 in words is "twenty million, one hundred fourteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 29 31 33 58 62 66 87 93 99 113 174 186 198 226 261 279 319 339 341 522 558 638 678 682 899 957 1017 1023 1243 1798 1914 2034 2046 2486 2697 2871 3069 3277 3503 3729 5394 5742 6138 6554 7006 7458 8091 9831 9889 10509 11187 16182 19662 19778 21018 22374 29493 29667 31527 36047 38533 58986 59334 63054 72094 77066 89001 101587 108141 115599 178002 203174 216282 231198 304761 324423 346797 609522 648846 693594 914283 1117457 1828566 2234914 3352371 6704742 10057113 20114226