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52222320 = 243458059
BaseRepresentation
bin1100011100110…
…1100101110000
310122021011120000
43013031211300
5101332103240
65103150000
71202611443
oct307154560
9118234500
1052222320
1127529447
12155a5300
13aa85aa7
146d1565a
1548b8430
hex31cd970

52222320 has 100 divisors (see below), whose sum is σ = 181398360. Its totient is φ = 13924224.

The previous prime is 52222309. The next prime is 52222327. The reversal of 52222320 is 2322225.

52222320 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 a junction number, because it is equal to n+sod(n) for n = 52222293 and 52222302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52222327) 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 19 ways as a sum of consecutive naturals, for example, 2451 + ... + 10509.

Almost surely, 252222320 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 52222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90699180).

52222320 is an abundant number, since it is smaller than the sum of its proper divisors (129176040).

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

52222320 is a wasteful number, since it uses less digits than its factorization.

52222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 52222320 is about 7226.5012281186. The cubic root of 52222320 is about 373.7822901003.

Adding to 52222320 its reverse (2322225), we get a palindrome (54544545).

The spelling of 52222320 in words is "fifty-two million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8059 16118 24177 32236 40295 48354 64472 72531 80590 96708 120885 128944 145062 161180 193416 217593 241770 290124 322360 362655 386832 435186 483540 580248 644720 652779 725310 870372 967080 1087965 1160496 1305558 1450620 1740744 1934160 2175930 2611116 2901240 3263895 3481488 4351860 5222232 5802480 6527790 8703720 10444464 13055580 17407440 26111160 52222320