Search a number
-
+
51322212 = 22325973331
BaseRepresentation
bin1100001111000…
…1110101100100
310120120102211200
43003301311210
5101114302322
65032002500
71162142304
oct303616544
9116512750
1051322212
1126a74157
1215230430
13a82c196
146b5d604
15478b8ac
hex30f1d64

51322212 has 72 divisors (see below), whose sum is σ = 134141280. Its totient is φ = 16536960.

The previous prime is 51322207. The next prime is 51322213. The reversal of 51322212 is 21222315.

51322212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (51322213) 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 23 ways as a sum of consecutive naturals, for example, 154887 + ... + 155217.

Almost surely, 251322212 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 51322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67070640).

51322212 is an abundant number, since it is smaller than the sum of its proper divisors (82819068).

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

51322212 is a wasteful number, since it uses less digits than its factorization.

51322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

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

The square root of 51322212 is about 7163.9522611475. The cubic root of 51322212 is about 371.6223187269.

Adding to 51322212 its reverse (21222315), we get a palindrome (72544527).

The spelling of 51322212 in words is "fifty-one million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 73 118 146 177 219 236 292 331 354 438 531 657 662 708 876 993 1062 1314 1324 1986 2124 2628 2979 3972 4307 5958 8614 11916 12921 17228 19529 24163 25842 38763 39058 48326 51684 58587 72489 77526 78116 96652 117174 144978 155052 175761 217467 234348 289956 351522 434934 703044 869868 1425617 2851234 4276851 5702468 8553702 12830553 17107404 25661106 51322212