Search a number
-
+
1214551233 = 337293753113
BaseRepresentation
bin100100001100100…
…1001010011000001
310010122101121002000
41020121021103001
54441411114413
6320304014213
742045341460
oct11031112301
93118347060
101214551233
11573645355
1229a901369
1316481a78c
14b743a9d7
1571962073
hex486494c1

1214551233 has 128 divisors (see below), whose sum is σ = 2245708800. Its totient is φ = 634023936.

The previous prime is 1214551223. The next prime is 1214551243. The reversal of 1214551233 is 3321554121.

1214551233 is a `hidden beast` number, since 1 + 2 + 145 + 512 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1214551223) and next prime (1214551243).

It is not a de Polignac number, because 1214551233 - 29 = 1214550721 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 = 1214551197 and 1214551206.

It is not an unprimeable number, because it can be changed into a prime (1214551223) 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 127 ways as a sum of consecutive naturals, for example, 10748185 + ... + 10748297.

It is an arithmetic number, because the mean of its divisors is an integer number (17544600).

Almost surely, 21214551233 is an apocalyptic number.

It is an amenable number.

1214551233 is a deficient number, since it is larger than the sum of its proper divisors (1031157567).

1214551233 is a wasteful number, since it uses less digits than its factorization.

1214551233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1214551233 is about 34850.4122357254. The cubic root of 1214551233 is about 1066.9365993386.

The spelling of 1214551233 in words is "one billion, two hundred fourteen million, five hundred fifty-one thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 29 37 53 63 87 111 113 159 189 203 259 261 333 339 371 477 609 777 783 791 999 1017 1073 1113 1431 1537 1827 1961 2331 2373 3051 3219 3277 3339 4181 4611 5481 5883 5989 6993 7119 7511 9657 9831 10017 10759 12543 13727 13833 17649 17967 21357 22533 22939 28971 29267 29493 32277 37629 41181 41499 41923 52947 53901 56869 67599 68817 87801 88479 96831 112887 121249 123543 125769 161703 170607 173681 202797 206451 221593 263403 290493 363747 370629 377307 398083 511821 521043 619353 664779 790209 848743 1091241 1131921 1194249 1215767 1535463 1551151 1563129 1994337 2546229 3273723 3582747 3647301 4653453 4689387 5983011 6426197 7638687 10748241 10941903 13960359 19278591 22916061 32825709 41881077 44983379 57835773 134950137 173507319 404850411 1214551233