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212234432212 = 221121014341593
BaseRepresentation
bin1100010110101000101…
…0000110111011010100
3202021210222112020101101
43011222022012323110
511434124003312322
6241255452235444
721222236623405
oct3055212067324
9667728466341
10212234432212
118200a893200
1235170a6bb84
1317023c0548a
14a3b4cc59ac
1557c25a1327
hex316a286ed4

212234432212 has 36 divisors (see below), whose sum is σ = 412286449428. Its totient is φ = 95515024000.

The previous prime is 212234432177. The next prime is 212234432219.

212234432212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 208955037456 + 3279394756 = 457116^2 + 57266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212234432219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121913 + ... + 2219680.

It is an arithmetic number, because the mean of its divisors is an integer number (11452401373).

Almost surely, 2212234432212 is an apocalyptic number.

212234432212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212234432212 is a deficient number, since it is larger than the sum of its proper divisors (200052017216).

212234432212 is a wasteful number, since it uses less digits than its factorization.

212234432212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341720 (or 4341707 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 212234 and 432212, that added together give a palindrome (644446).

The spelling of 212234432212 in words is "two hundred twelve billion, two hundred thirty-four million, four hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 1111 2222 4444 12221 24442 48884 4341593 8683186 17366372 47757523 95515046 191030092 438500893 525332753 877001786 1050665506 1754003572 2101331012 4823509823 9647019646 19294039292 53058608053 106117216106 212234432212