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212822320 = 24517156487
BaseRepresentation
bin11001010111101…
…10100100110000
3112211110111100011
430223312210300
5413440303240
633041304304
75162650144
oct1453664460
9484414304
10212822320
11aa150617
125b335094
1335126689
142039d224
1513a3d6ea
hexcaf6930

212822320 has 40 divisors (see below), whose sum is σ = 523921824. Its totient is φ = 80120832.

The previous prime is 212822317. The next prime is 212822321. The reversal of 212822320 is 23228212.

It is a happy number.

212822320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212822291 and 212822300.

It is not an unprimeable number, because it can be changed into a prime (212822321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76884 + ... + 79603.

Almost surely, 2212822320 is an apocalyptic number.

212822320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212822320 is an abundant number, since it is smaller than the sum of its proper divisors (311099504).

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

212822320 is a wasteful number, since it uses less digits than its factorization.

212822320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156517 (or 156511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 212822320 is about 14588.4310328424. The cubic root of 212822320 is about 597.0431560971.

The spelling of 212822320 in words is "two hundred twelve million, eight hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 156487 312974 625948 782435 1251896 1564870 2503792 2660279 3129740 5320558 6259480 10641116 12518960 13301395 21282232 26602790 42564464 53205580 106411160 212822320