Search a number
-
+
114252633 = 3311372281
BaseRepresentation
bin1101100111101…
…01101101011001
321221222122011000
412303311231121
5213222041013
615200455213
72555063025
oct663655531
9257878130
10114252633
1159546770
123231a509
131a893c11
1411261385
15a06c973
hex6cf5b59

114252633 has 48 divisors (see below), whose sum is σ = 190451520. Its totient is φ = 67132800.

The previous prime is 114252617. The next prime is 114252659. The reversal of 114252633 is 336252411.

114252633 is a `hidden beast` number, since 1 + 1 + 4 + 25 + 2 + 633 = 666.

It is not a de Polignac number, because 114252633 - 24 = 114252617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114252597 and 114252606.

It is not an unprimeable number, because it can be changed into a prime (114252613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406453 + ... + 406733.

It is an arithmetic number, because the mean of its divisors is an integer number (3967740).

Almost surely, 2114252633 is an apocalyptic number.

It is an amenable number.

114252633 is a deficient number, since it is larger than the sum of its proper divisors (76198887).

114252633 is a wasteful number, since it uses less digits than its factorization.

114252633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 332 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 114252633 is about 10688.9023290514. The cubic root of 114252633 is about 485.2386723394.

The spelling of 114252633 in words is "one hundred fourteen million, two hundred fifty-two thousand, six hundred thirty-three".

Divisors: 1 3 9 11 27 33 37 99 111 281 297 333 407 843 999 1221 1369 2529 3091 3663 4107 7587 9273 10397 10989 12321 15059 27819 31191 36963 45177 83457 93573 114367 135531 280719 343101 384689 406593 1029303 1154067 3087909 3462201 4231579 10386603 12694737 38084211 114252633