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22141026 = 234971409
BaseRepresentation
bin101010001110…
…1100001100010
31112122212210000
41110131201202
521132003101
62110320430
7356124045
oct124354142
945585700
1022141026
1111552976
1274b9116
134782acb
142d24c5c
151e25486
hex151d862

22141026 has 40 divisors (see below), whose sum is σ = 50159340. Its totient is φ = 7299072.

The previous prime is 22141013. The next prime is 22141033. The reversal of 22141026 is 62014122.

It can be written as a sum of positive squares in 2 ways, for example, as 19368801 + 2772225 = 4401^2 + 1665^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 19 ways as a sum of consecutive naturals, for example, 15010 + ... + 16418.

Almost surely, 222141026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25079670).

22141026 is an abundant number, since it is smaller than the sum of its proper divisors (28018314).

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

22141026 is a wasteful number, since it uses less digits than its factorization.

22141026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1511 counting only the distinct ones).

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

The square root of 22141026 is about 4705.4251667623. The cubic root of 22141026 is about 280.8013861426.

Adding to 22141026 its reverse (62014122), we get a palindrome (84155148).

It can be divided in two parts, 2214 and 1026, that added together give a triangular number (3240 = T80).

The spelling of 22141026 in words is "twenty-two million, one hundred forty-one thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1409 1746 2619 2818 4227 5238 7857 8454 12681 15714 25362 38043 76086 114129 136673 228258 273346 410019 820038 1230057 2460114 3690171 7380342 11070513 22141026