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213212205 = 32519298599
BaseRepresentation
bin11001011010101…
…01110000101101
3112212012022011100
430231111300231
5414040242310
633053513313
75166162633
oct1455256055
9485168140
10213212205
11aa397538
125b4a2839
1335231c8b
1420461353
1513ab8ec0
hexcb55c2d

213212205 has 48 divisors (see below), whose sum is σ = 402480000. Its totient is φ = 104001408.

The previous prime is 213212179. The next prime is 213212261. The reversal of 213212205 is 502212312.

It is not a de Polignac number, because 213212205 - 215 = 213179437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20496 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (8385000).

Almost surely, 2213212205 is an apocalyptic number.

It is an amenable number.

213212205 is a deficient number, since it is larger than the sum of its proper divisors (189267795).

213212205 is a wasteful number, since it uses less digits than its factorization.

213212205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8655 counting only the distinct ones).

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

The square root of 213212205 is about 14601.7877330141. The cubic root of 213212205 is about 597.4075229041.

Adding to 213212205 its reverse (502212312), we get a palindrome (715424517).

The spelling of 213212205 in words is "two hundred thirteen million, two hundred twelve thousand, two hundred five".

Divisors: 1 3 5 9 15 19 29 45 57 87 95 145 171 261 285 435 551 855 1305 1653 2755 4959 8265 8599 24795 25797 42995 77391 128985 163381 249371 386955 490143 748113 816905 1246855 1470429 2244339 2450715 3740565 4738049 7352145 11221695 14214147 23690245 42642441 71070735 213212205