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22630146 = 2371126173
BaseRepresentation
bin101011001010…
…0111100000010
31120120201201120
41112110330002
521243131041
62125013110
7363232050
oct126247402
946521646
1022630146
1111857400
1276b4196
1348c4626
1430111d0
151ec0366
hex1594f02

22630146 has 96 divisors (see below), whose sum is σ = 58579584. Its totient is φ = 5702400.

The previous prime is 22630133. The next prime is 22630147. The reversal of 22630146 is 64103622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22630147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 309966 + ... + 310038.

It is an arithmetic number, because the mean of its divisors is an integer number (610204).

Almost surely, 222630146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22630146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289792).

22630146 is an abundant number, since it is smaller than the sum of its proper divisors (35949438).

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

22630146 is a wasteful number, since it uses less digits than its factorization.

22630146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22630146 is about 4757.1153023655. The cubic root of 22630146 is about 282.8540828593.

Adding to 22630146 its reverse (64103622), we get a palindrome (86733768).

The spelling of 22630146 in words is "twenty-two million, six hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 73 77 121 122 146 154 183 219 231 242 363 366 427 438 462 511 671 726 803 847 854 1022 1281 1342 1533 1606 1694 2013 2409 2541 2562 3066 4026 4453 4697 4818 5082 5621 7381 8833 8906 9394 11242 13359 14091 14762 16863 17666 22143 26499 26718 28182 31171 33726 44286 48983 51667 52998 61831 62342 93513 97966 103334 123662 146949 155001 185493 187026 293898 310002 342881 370986 538813 685762 1028643 1077626 1616439 2057286 3232878 3771691 7543382 11315073 22630146