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212413022320 = 24583200315971
BaseRepresentation
bin1100010111010011001…
…1011000000001110000
3202022021102120112221211
43011310303120001300
511440010213203240
6241325312125504
721226535620312
oct3056463300160
9668242515854
10212413022320
11820a1682634
1235200836894
1317051c046b5
14a3d08d37b2
1557d30cbbea
hex3174cd8070

212413022320 has 80 divisors (see below), whose sum is σ = 500091242112. Its totient is φ = 83894370560.

The previous prime is 212413022309. The next prime is 212413022323. The reversal of 212413022320 is 23220314212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2124130223202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212413022291 and 212413022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212413022323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13291935 + ... + 13307905.

Almost surely, 2212413022320 is an apocalyptic number.

212413022320 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 212413022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250045621056).

212413022320 is an abundant number, since it is smaller than the sum of its proper divisors (287678219792).

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

212413022320 is a wasteful number, since it uses less digits than its factorization.

212413022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212413022320 its reverse (23220314212), we get a palindrome (235633336532).

The spelling of 212413022320 in words is "two hundred twelve billion, four hundred thirteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 2003 3320 4006 6640 8012 10015 15971 16024 20030 31942 32048 40060 63884 79855 80120 127768 159710 160240 166249 255536 319420 332498 638840 664996 831245 1277680 1325593 1329992 1662490 2651186 2659984 3324980 5302372 6627965 6649960 10604744 13255930 13299920 21209488 26511860 31989913 53023720 63979826 106047440 127959652 159949565 255919304 319899130 511838608 639798260 1279596520 2559193040 2655162779 5310325558 10620651116 13275813895 21241302232 26551627790 42482604464 53103255580 106206511160 212413022320