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212214412212 = 223115503292147
BaseRepresentation
bin1100010110100011110…
…1101111001110110100
3202021202120212010002220
43011220331233032310
511434103342142322
6241253455202340
721221604512145
oct3055075571664
9667676763086
10212214412212
1181aaa559950
12351662163b0
131701ca15c1a
14a3b2393acc
1557c094955c
hex3168f6f3b4

212214412212 has 48 divisors (see below), whose sum is σ = 540282150912. Its totient is φ = 64295491680.

The previous prime is 212214412181. The next prime is 212214412213.

212214412212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212214412213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580323 + ... + 872469.

It is an arithmetic number, because the mean of its divisors is an integer number (11255878144).

Almost surely, 2212214412212 is an apocalyptic number.

212214412212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212214412212 is an abundant number, since it is smaller than the sum of its proper divisors (328067738700).

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

212214412212 is a wasteful number, since it uses less digits than its factorization.

212214412212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297668 (or 297666 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 212214 and 412212, that added together give a palindrome (624426).

The spelling of 212214412212 in words is "two hundred twelve billion, two hundred fourteen million, four hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5503 11006 16509 22012 33018 60533 66036 121066 181599 242132 292147 363198 584294 726396 876441 1168588 1752882 3213617 3505764 6427234 9640851 12854468 19281702 38563404 1607684941 3215369882 4823054823 6430739764 9646109646 17684534351 19292219292 35369068702 53053603053 70738137404 106107206106 212214412212