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22010142 = 2371126171
BaseRepresentation
bin101001111110…
…1100100011110
31112102020020110
41103331210132
521113311032
62103430450
7355040340
oct123754436
945366213
1022010142
1111473600
127455426
13473836b
142ccd290
151deb7cc
hex14fd91e

22010142 has 96 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 5544000.

The previous prime is 22010141. The next prime is 22010167. The reversal of 22010142 is 24101022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309967 + ... + 310037.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 222010142 is an apocalyptic number.

22010142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

22010142 is an abundant number, since it is smaller than the sum of its proper divisors (34986210).

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

22010142 is a wasteful number, since it uses less digits than its factorization.

22010142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22010142 is about 4691.4967760833. The cubic root of 22010142 is about 280.2469844550.

Adding to 22010142 its reverse (24101022), we get a palindrome (46111164).

The spelling of 22010142 in words is "twenty-two million, ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 71 77 121 122 142 154 183 213 231 242 363 366 426 427 462 497 671 726 781 847 854 994 1281 1342 1491 1562 1694 2013 2343 2541 2562 2982 4026 4331 4686 4697 5082 5467 7381 8591 8662 9394 10934 12993 14091 14762 16401 17182 22143 25773 25986 28182 30317 32802 44286 47641 51546 51667 60137 60634 90951 95282 103334 120274 142923 155001 180411 181902 285846 310002 333487 360822 524051 666974 1000461 1048102 1572153 2000922 3144306 3668357 7336714 11005071 22010142