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212422320 = 243251126821
BaseRepresentation
bin11001010100101…
…00111010110000
3112210201011122100
430222110322300
5413340003240
633024540400
75156363025
oct1452247260
9483634570
10212422320
11a99a8040
125b181700
13350165a6
14202d754c
15139aee30
hexca94eb0

212422320 has 120 divisors (see below), whose sum is σ = 778267152. Its totient is φ = 51494400.

The previous prime is 212422307. The next prime is 212422333. The reversal of 212422320 is 23224212.

212422320 is a `hidden beast` number, since 212 + 422 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212422307) and next prime (212422333).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 212422293 and 212422302.

It is an unprimeable number.

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, 5491 + ... + 21330.

Almost surely, 2212422320 is an apocalyptic number.

212422320 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 212422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389133576).

212422320 is an abundant number, since it is smaller than the sum of its proper divisors (565844832).

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

212422320 is a wasteful number, since it uses less digits than its factorization.

212422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26851 (or 26842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212422320 is about 14574.7150915550. The cubic root of 212422320 is about 596.6688735531.

Adding to 212422320 its reverse (23224212), we get a palindrome (235646532).

The spelling of 212422320 in words is "two hundred twelve million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 26821 53642 80463 107284 134105 160926 214568 241389 268210 295031 321852 402315 429136 482778 536420 590062 643704 804630 885093 965556 1072840 1180124 1206945 1287408 1475155 1609260 1770186 1931112 2145680 2360248 2413890 2655279 2950310 3218520 3540372 3862224 4425465 4720496 4827780 5310558 5900620 6437040 7080744 8850930 9655560 10621116 11801240 13276395 14161488 17701860 19311120 21242232 23602480 26552790 35403720 42484464 53105580 70807440 106211160 212422320