Search a number
-
+
214273236 = 223176167257
BaseRepresentation
bin11001100010110…
…00110011010100
3112221012012121210
430301120303110
5414323220421
633132341420
75211202212
oct1461306324
9487165553
10214273236
11aaa51721
125b914870
1335513bc8
1420659cb2
1513c28576
hexcc58cd4

214273236 has 96 divisors (see below), whose sum is σ = 548214912. Its totient is φ = 64880640.

The previous prime is 214273231. The next prime is 214273247. The reversal of 214273236 is 632372412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214273231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833620 + ... + 833876.

It is an arithmetic number, because the mean of its divisors is an integer number (5710572).

Almost surely, 2214273236 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 214273236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274107456).

214273236 is an abundant number, since it is smaller than the sum of its proper divisors (333941676).

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

214273236 is a wasteful number, since it uses less digits than its factorization.

214273236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 214273236 is about 14638.0748734251. The cubic root of 214273236 is about 598.3968648556.

The spelling of 214273236 in words is "two hundred fourteen million, two hundred seventy-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 61 67 68 102 122 134 183 201 204 244 257 268 366 402 514 732 771 804 1028 1037 1139 1542 2074 2278 3084 3111 3417 4087 4148 4369 4556 6222 6834 8174 8738 12261 12444 13107 13668 15677 16348 17219 17476 24522 26214 31354 34438 47031 49044 51657 52428 62708 68876 69479 94062 103314 138958 188124 206628 208437 266509 277916 292723 416874 533018 585446 799527 833748 878169 1050359 1066036 1170892 1599054 1756338 2100718 3151077 3198108 3512676 4201436 6302154 12604308 17856103 35712206 53568309 71424412 107136618 214273236