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212342231424 = 2732815573533
BaseRepresentation
bin1100010111000010010…
…1010101000110000000
3202022002111101000002210
43011300211111012000
511434334102401144
6241314302542120
721225016121001
oct3056045250600
9668074330083
10212342231424
1182065721364
12351a0b97940
1317040349bab
14a3c53471a8
1557cbc96ab9
hex3170955180

212342231424 has 128 divisors (see below), whose sum is σ = 567218026080. Its totient is φ = 70382305280.

The previous prime is 212342231401. The next prime is 212342231471. The reversal of 212342231424 is 424132243212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2123422314242 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212342231391 and 212342231400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60100762 + ... + 60104294.

Almost surely, 2212342231424 is an apocalyptic number.

212342231424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212342231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283609013040).

212342231424 is an abundant number, since it is smaller than the sum of its proper divisors (354875794656).

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

212342231424 is a wasteful number, since it uses less digits than its factorization.

212342231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4376 counting only the distinct ones).

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

Adding to 212342231424 its reverse (424132243212), we get a palindrome (636474474636).

The spelling of 212342231424 in words is "two hundred twelve billion, three hundred forty-two million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 281 384 557 562 843 1114 1124 1671 1686 2228 2248 3342 3372 3533 4456 4496 6684 6744 7066 8912 8992 10599 13368 13488 14132 17824 17984 21198 26736 26976 28264 35648 35968 42396 53472 53952 56528 71296 84792 106944 107904 113056 156517 169584 213888 226112 313034 339168 452224 469551 626068 678336 939102 992773 1252136 1356672 1878204 1967881 1985546 2504272 2978319 3756408 3935762 3971092 5008544 5903643 5956638 7512816 7871524 7942184 10017088 11807286 11913276 15025632 15743048 15884368 20034176 23614572 23826552 30051264 31486096 31768736 47229144 47653104 60102528 62972192 63537472 94458288 95306208 125944384 127074944 188916576 190612416 251888768 377833152 381224832 552974561 755666304 1105949122 1658923683 2211898244 3317847366 4423796488 6635694732 8847592976 13271389464 17695185952 26542778928 35390371904 53085557856 70780743808 106171115712 212342231424