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224414222031 = 3836139467
BaseRepresentation
bin1101000100000000100…
…0010100011011001111
3210110020210221200000000
43101000020110123033
512134100020101111
6251032223335343
722133123261616
oct3210010243317
9713223850000
10224414222031
118719aa835aa
12375aba51553
13182153992bc
14ac0c74487d
155c869d7c56
hex34402146cf

224414222031 has 36 divisors (see below), whose sum is σ = 336732961032. Its totient is φ = 149552273808.

The previous prime is 224414222029. The next prime is 224414222059. The reversal of 224414222031 is 130222414422.

It is a happy number.

224414222031 is a `hidden beast` number, since 2 + 24 + 414 + 2 + 220 + 3 + 1 = 666.

It is not a de Polignac number, because 224414222031 - 21 = 224414222029 is a prime.

It is a super-2 number, since 2×2244142220312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224414221986 and 224414222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224414222531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23700160 + ... + 23709626.

It is an arithmetic number, because the mean of its divisors is an integer number (9353693362).

Almost surely, 2224414222031 is an apocalyptic number.

224414222031 is a deficient number, since it is larger than the sum of its proper divisors (112318739001).

224414222031 is an frugal number, since it uses more digits than its factorization.

224414222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13104 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224414222031 its reverse (130222414422), we get a palindrome (354636636453).

The spelling of 224414222031 in words is "two hundred twenty-four billion, four hundred fourteen million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 27 81 243 729 2187 3613 6561 9467 10839 28401 32517 85203 97551 255609 292653 766827 877959 2300481 2633877 6901443 7901631 20704329 23704893 34204271 62112987 102612813 307838439 923515317 2770545951 8311637853 24934913559 74804740677 224414222031