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23100066 = 2351129149
BaseRepresentation
bin101100000011…
…1101010100010
31121110121100000
41120013222202
521403200231
62143040430
7400230063
oct130075242
947417300
1023100066
1112048470
1278a0116
134a2a4a2
1430d456a
1520646e6
hex1607aa2

23100066 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6713280.

The previous prime is 23100061. The next prime is 23100083. The reversal of 23100066 is 66000132.

It is a happy number.

It is a super-2 number, since 2×231000662 = 1067226098408712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23100061) 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, 154960 + ... + 155108.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 223100066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23100066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

23100066 is an abundant number, since it is smaller than the sum of its proper divisors (35867934).

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

23100066 is a wasteful number, since it uses less digits than its factorization.

23100066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23100066 is about 4806.2528023399. The cubic root of 23100066 is about 284.7985279692.

Adding to 23100066 its reverse (66000132), we get a palindrome (89100198).

The spelling of 23100066 in words is "twenty-three million, one hundred thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 149 162 174 198 243 261 297 298 319 447 486 522 594 638 783 891 894 957 1341 1566 1639 1782 1914 2349 2673 2682 2871 3278 4023 4321 4698 4917 5346 5742 7047 8046 8613 8642 9834 12069 12963 14094 14751 17226 24138 25839 25926 29502 36207 38889 44253 47531 51678 72414 77517 77778 88506 95062 116667 132759 142593 155034 233334 265518 285186 350001 398277 427779 700002 796554 855558 1050003 1283337 2100006 2566674 3850011 7700022 11550033 23100066