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212434298388 = 2232133734493557
BaseRepresentation
bin1100010111011000010…
…0100010011000010100
3202022022220121111020100
43011312010202120110
511440031140022023
6241331352134100
721230214512544
oct3056604423024
9668286544210
10212434298388
1182102694664
1235207997330
13170564438a0
14a3d3671324
1557d4dd0c43
hex3176122614

212434298388 has 144 divisors (see below), whose sum is σ = 594262141200. Its totient is φ = 63561480192.

The previous prime is 212434298387. The next prime is 212434298399. The reversal of 212434298388 is 883892434212.

212434298388 is a `hidden beast` number, since 21 + 2 + 43 + 429 + 83 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55822567824 + 156611730564 = 236268^2 + 395742^2 .

It is a super-2 number, since 2×2124342983882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212434298387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59721106 + ... + 59724662.

It is an arithmetic number, because the mean of its divisors is an integer number (4126820425).

Almost surely, 2212434298388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212434298388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297131070600).

212434298388 is an abundant number, since it is smaller than the sum of its proper divisors (381827842812).

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

212434298388 is a wasteful number, since it uses less digits than its factorization.

212434298388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7061 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 212434298388 in words is "two hundred twelve billion, four hundred thirty-four million, two hundred ninety-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 3449 3557 4329 5772 6898 7114 8658 10347 10671 13796 14228 17316 20694 21342 31041 32013 41388 42684 44837 46241 62082 64026 89674 92482 124164 127613 128052 131609 134511 138723 179348 184964 255226 263218 269022 277446 382839 394827 403533 416169 510452 526436 538044 554892 765678 789654 807066 832338 1148517 1184481 1531356 1579308 1614132 1658969 1664676 1710917 2297034 2368962 3317938 3421834 4594068 4737924 4976907 5132751 6635876 6843668 9953814 10265502 12268093 14930721 15398253 19907628 20531004 24536186 29861442 30796506 36804279 49072372 59722884 61593012 73608558 110412837 147217116 159485209 220825674 318970418 441651348 453919441 478455627 637940836 907838882 956911254 1361758323 1435366881 1815677764 1913822508 2723516646 2870733762 4085274969 5447033292 5741467524 5900952733 8170549938 11801905466 16341099876 17702858199 23603810932 35405716398 53108574597 70811432796 106217149194 212434298388