Search a number
-
+
212225520 = 243513251271
BaseRepresentation
bin11001010011001…
…00110111110000
3112210100011200110
430221210313300
5413312204040
633020421320
75154613203
oct1451446760
9483304613
10212225520
11a98831a1
125b0a7840
1334c77b40
142028593a
1513971980
hexca64df0

212225520 has 160 divisors (see below), whose sum is σ = 713954304. Its totient is φ = 51840000.

The previous prime is 212225513. The next prime is 212225551. The reversal of 212225520 is 25522212.

212225520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782985 + ... + 783255.

Almost surely, 2212225520 is an apocalyptic number.

212225520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977152).

212225520 is an abundant number, since it is smaller than the sum of its proper divisors (501728784).

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

212225520 is a wasteful number, since it uses less digits than its factorization.

212225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 212225520 is about 14567.9621086822. The cubic root of 212225520 is about 596.4845540713.

Adding to 212225520 its reverse (25522212), we get a palindrome (237747732).

The spelling of 212225520 in words is "two hundred twelve million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 251 260 271 312 390 502 520 542 624 753 780 813 1004 1040 1084 1255 1355 1506 1560 1626 2008 2168 2510 2710 3012 3120 3252 3263 3523 3765 4016 4065 4336 5020 5420 6024 6504 6526 7046 7530 8130 9789 10040 10569 10840 12048 13008 13052 14092 15060 16260 16315 17615 19578 20080 21138 21680 26104 28184 30120 32520 32630 35230 39156 42276 48945 52208 52845 56368 60240 65040 65260 68021 70460 78312 84552 97890 105690 130520 136042 140920 156624 169104 195780 204063 211380 261040 272084 281840 340105 391560 408126 422760 544168 680210 783120 816252 845520 884273 1020315 1088336 1360420 1632504 1768546 2040630 2652819 2720840 3265008 3537092 4081260 4421365 5305638 5441680 7074184 8162520 8842730 10611276 13264095 14148368 16325040 17685460 21222552 26528190 35370920 42445104 53056380 70741840 106112760 212225520