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22198131 = 34793469
BaseRepresentation
bin101010010101…
…1011101110011
31112202210010000
41110223131303
521140320011
62111441043
7356452404
oct124533563
945683100
1022198131
111159186a
127526183
1347a2ab7
142d3b9ab
151e37356
hex152b773

22198131 has 20 divisors (see below), whose sum is σ = 33589600. Its totient is φ = 14607216.

The previous prime is 22198129. The next prime is 22198193. The reversal of 22198131 is 13189122.

It is not a de Polignac number, because 22198131 - 21 = 22198129 is a prime.

It is a super-2 number, since 2×221981312 = 985514039786322, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22198095 and 22198104.

It is not an unprimeable number, because it can be changed into a prime (22198331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4665 + ... + 8133.

It is an arithmetic number, because the mean of its divisors is an integer number (1679480).

Almost surely, 222198131 is an apocalyptic number.

22198131 is a deficient number, since it is larger than the sum of its proper divisors (11391469).

22198131 is an equidigital number, since it uses as much as digits as its factorization.

22198131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3551 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 22198131 is about 4711.4892550021. The cubic root of 22198131 is about 281.0425884125.

Subtracting from 22198131 its reverse (13189122), we obtain a palindrome (9009009).

The spelling of 22198131 in words is "twenty-two million, one hundred ninety-eight thousand, one hundred thirty-one".

Divisors: 1 3 9 27 79 81 237 711 2133 3469 6399 10407 31221 93663 274051 280989 822153 2466459 7399377 22198131