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22148368 = 2411612063
BaseRepresentation
bin101010001111…
…1010100010000
31112200020211221
41110133110100
521132221433
62110414424
7356154334
oct124372420
945606757
1022148368
1111558440
127501414
134786258
142d277c4
151e2772d
hex151f510

22148368 has 40 divisors (see below), whose sum is σ = 47604096. Its totient is φ = 9897600.

The previous prime is 22148359. The next prime is 22148387. The reversal of 22148368 is 86384122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9705 + ... + 11767.

Almost surely, 222148368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23802048).

22148368 is an abundant number, since it is smaller than the sum of its proper divisors (25455728).

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

22148368 is a wasteful number, since it uses less digits than its factorization.

22148368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 22148368 is about 4706.2052653916. The cubic root of 22148368 is about 280.8324207770.

The spelling of 22148368 in words is "twenty-two million, one hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2063 2684 4126 5368 8252 10736 16504 22693 33008 45386 90772 125843 181544 251686 363088 503372 1006744 1384273 2013488 2768546 5537092 11074184 22148368