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212234440314 = 231317261315359
BaseRepresentation
bin1100010110101000101…
…0001000111001111010
3202021210222112122111110
43011222022020321322
511434124004042224
6241255452341150
721222236656131
oct3055212107172
9667728478443
10212234440314
118200a8992a6
1235170a747b6
1317023c09080
14a3b4cc8918
1557c25a3929
hex316a288e7a

212234440314 has 96 divisors (see below), whose sum is σ = 486415319040. Its totient is φ = 61357298688.

The previous prime is 212234440291. The next prime is 212234440361. The reversal of 212234440314 is 413044432212.

It is a super-4 number, since 4×2122344403144 (a number of 46 digits) contains 4444 as substring.

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, 13810567 + ... + 13825925.

It is an arithmetic number, because the mean of its divisors is an integer number (5066826240).

Almost surely, 2212234440314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212234440314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243207659520).

212234440314 is an abundant number, since it is smaller than the sum of its proper divisors (274180878726).

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

212234440314 is a wasteful number, since it uses less digits than its factorization.

212234440314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16024 (or 16007 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212234440314 its reverse (413044432212), we get a palindrome (625278872526).

The spelling of 212234440314 in words is "two hundred twelve billion, two hundred thirty-four million, four hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 613 663 867 1226 1326 1734 1839 3678 3757 7514 7969 10421 11271 15359 15938 20842 22542 23907 30718 31263 46077 47814 62526 92154 135473 177157 199667 261103 270946 354314 399334 406419 522206 531471 599001 783309 812838 1062942 1198002 1566618 2303041 3394339 4438751 4606082 6788678 6909123 8877502 9415067 10183017 13316253 13818246 18830134 20366034 26632506 28245201 56490402 57703763 115407526 122395871 160056139 173111289 244791742 320112278 346222578 367187613 480168417 734375226 960336834 2080729807 2720954363 4161459614 5441908726 6242189421 8162863089 12484378842 16325726178 35372406719 70744813438 106117220157 212234440314