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212430233020 = 2251719216115217
BaseRepresentation
bin1100010111010111010…
…1000001110110111100
3202022022121221221121011
43011311311001312330
511440024114424040
6241331125045004
721230135121265
oct3056565016674
9668277857534
10212430233020
1182100368255
1235206556764
131705564c345
14a3d2cd396c
1557d487b3ea
hex3175d41dbc

212430233020 has 96 divisors (see below), whose sum is σ = 497467897920. Its totient is φ = 75724554240.

The previous prime is 212430232997. The next prime is 212430233027. The reversal of 212430233020 is 20332034212.

It is a junction number, because it is equal to n+sod(n) for n = 212430232982 and 212430233000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212430233027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13952452 + ... + 13967668.

It is an arithmetic number, because the mean of its divisors is an integer number (5181957270).

Almost surely, 2212430233020 is an apocalyptic number.

212430233020 is a gapful number since it is divisible by the number (20) 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 212430233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248733948960).

212430233020 is an abundant number, since it is smaller than the sum of its proper divisors (285037664900).

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

212430233020 is a wasteful number, since it uses less digits than its factorization.

212430233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 212430233020 its reverse (20332034212), we get a palindrome (232762267232).

The spelling of 212430233020 in words is "two hundred twelve billion, four hundred thirty million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 2161 3230 4322 6460 8644 10805 15217 21610 30434 36737 41059 43220 60868 73474 76085 82118 146948 152170 164236 183685 205295 258689 289123 304340 367370 410590 517378 578246 698003 734740 821180 1034756 1156492 1293445 1396006 1445615 2586890 2792012 2891230 3490015 4915091 5173780 5782460 6980030 9830182 13960060 19660364 24575455 32883937 49150910 65767874 98301820 131535748 164419685 328839370 559026929 624794803 657678740 1118053858 1249589606 2236107716 2499179212 2795134645 3123974015 5590269290 6247948030 10621511651 11180538580 12495896060 21243023302 42486046604 53107558255 106215116510 212430233020