Search a number
-
+
215455212 = 2232717192647
BaseRepresentation
bin11001101011110…
…01010111101100
3120000102020222200
430311321113230
5420124031322
633213541500
75224224210
oct1465712754
9500366880
10215455212
11100689765
12601a4890
1335838bbb
1420886940
1513dad8ac
hexcd795ec

215455212 has 144 divisors (see below), whose sum is σ = 693987840. Its totient is φ = 54867456.

The previous prime is 215455211. The next prime is 215455243. The reversal of 215455212 is 212554512.

It is not an unprimeable number, because it can be changed into a prime (215455211) 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, 80073 + ... + 82719.

It is an arithmetic number, because the mean of its divisors is an integer number (4819360).

Almost surely, 2215455212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215455212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346993920).

215455212 is an abundant number, since it is smaller than the sum of its proper divisors (478532628).

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

215455212 is a wasteful number, since it uses less digits than its factorization.

215455212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2695 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 215455212 is about 14678.3926912997. The cubic root of 215455212 is about 599.4951419831.

The spelling of 215455212 in words is "two hundred fifteen million, four hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2647 2907 3876 4284 4522 4788 5294 5814 6783 7941 9044 10588 11628 13566 15882 18529 20349 23823 27132 31764 37058 40698 44999 47646 50293 55587 74116 81396 89998 95292 100586 111174 134997 150879 166761 179996 201172 222348 269994 301758 314993 333522 352051 404991 452637 539988 603516 629986 667044 704102 809982 854981 905274 944979 1056153 1259972 1408204 1619964 1709962 1810548 1889958 2112306 2564943 2834937 3168459 3419924 3779916 4224612 5129886 5669874 5984867 6336918 7694829 10259772 11339748 11969734 12673836 15389658 17954601 23939468 30779316 35909202 53863803 71818404 107727606 215455212