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212004210 = 235112922153
BaseRepresentation
bin11001010001011…
…10110101110010
3112202220221002210
430220232311302
5413233113320
633011552550
75153002035
oct1450566562
9482827083
10212004210
11a97419a0
125abbb756
1334bcb1a2
142022901c
151392b0e0
hexca2ed72

212004210 has 64 divisors (see below), whose sum is σ = 574231680. Its totient is φ = 49620480.

The previous prime is 212004197. The next prime is 212004227. The reversal of 212004210 is 12400212.

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, 1507 + ... + 20646.

It is an arithmetic number, because the mean of its divisors is an integer number (8972370).

Almost surely, 2212004210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212004210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287115840).

212004210 is an abundant number, since it is smaller than the sum of its proper divisors (362227470).

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

212004210 is a wasteful number, since it uses less digits than its factorization.

212004210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22203.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212004210 is about 14560.3643498369. The cubic root of 212004210 is about 596.2771427768.

Adding to 212004210 its reverse (12400212), we get a palindrome (224404422).

The spelling of 212004210 in words is "two hundred twelve million, four thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 22153 44306 66459 110765 132918 221530 243683 332295 487366 642437 664590 731049 1218415 1284874 1462098 1927311 2436830 3212185 3655245 3854622 6424370 7066807 7310490 9636555 14133614 19273110 21200421 35334035 42400842 70668070 106002105 212004210