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23121252 = 223271119439
BaseRepresentation
bin101100000110…
…0110101100100
31121111200101200
41120030311210
521404340002
62143322500
7400345620
oct130146544
947450350
1023121252
1112062380
1278b0430
134a3701b
1430dc180
15206ab1c
hex160cd64

23121252 has 144 divisors (see below), whose sum is σ = 76876800. Its totient is φ = 5676480.

The previous prime is 23121247. The next prime is 23121281. The reversal of 23121252 is 25212132.

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

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 47 ways as a sum of consecutive naturals, for example, 52449 + ... + 52887.

Almost surely, 223121252 is an apocalyptic number.

23121252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23121252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438400).

23121252 is an abundant number, since it is smaller than the sum of its proper divisors (53755548).

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

23121252 is a wasteful number, since it uses less digits than its factorization.

23121252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 23121252 is about 4808.4563011428. The cubic root of 23121252 is about 284.8855680951.

Adding to 23121252 its reverse (25212132), we get a palindrome (48333384).

The spelling of 23121252 in words is "twenty-three million, one hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 439 462 532 627 684 693 798 836 878 924 1197 1254 1317 1386 1463 1596 1756 1881 2394 2508 2634 2772 2926 3073 3762 3951 4389 4788 4829 5268 5852 6146 7524 7902 8341 8778 9219 9658 12292 13167 14487 15804 16682 17556 18438 19316 25023 26334 27657 28974 33364 33803 36876 43461 50046 52668 55314 57948 58387 67606 75069 86922 91751 100092 101409 110628 116774 135212 150138 173844 175161 183502 202818 233548 275253 300276 304227 350322 367004 405636 525483 550506 608454 642257 700644 825759 1050966 1101012 1216908 1284514 1651518 1926771 2101932 2569028 3303036 3853542 5780313 7707084 11560626 23121252