Search a number
-
+
212113944 = 233374409
BaseRepresentation
bin11001010010010…
…01101000011000
3112210010111122000
430221021220120
5413300121234
633014201000
75153640000
oct1451115030
9483114560
10212113944
11a9807389
125b053160
1334c39113
1420257000
151394d899
hexca49a18

212113944 has 160 divisors (see below), whose sum is σ = 689046000. Its totient is φ = 60455808.

The previous prime is 212113939. The next prime is 212113963. The reversal of 212113944 is 449311212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 518412 + ... + 518820.

Almost surely, 2212113944 is an apocalyptic number.

212113944 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 212113944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344523000).

212113944 is an abundant number, since it is smaller than the sum of its proper divisors (476932056).

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

212113944 is an equidigital number, since it uses as much as digits as its factorization.

212113944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 421 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 212113944 is about 14564.1321059650. The cubic root of 212113944 is about 596.3800032970.

The spelling of 212113944 in words is "two hundred twelve million, one hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 409 441 504 588 686 756 818 882 1029 1176 1227 1323 1372 1512 1636 1764 2058 2401 2454 2646 2744 2863 3087 3272 3528 3681 4116 4802 4908 5292 5726 6174 7203 7362 8232 8589 9261 9604 9816 10584 11043 11452 12348 14406 14724 17178 18522 19208 20041 21609 22086 22904 24696 25767 28812 29448 34356 37044 40082 43218 44172 51534 57624 60123 64827 68712 74088 77301 80164 86436 88344 103068 120246 129654 140287 154602 160328 172872 180369 206136 240492 259308 280574 309204 360738 420861 480984 518616 541107 561148 618408 721476 841722 982009 1082214 1122296 1262583 1442952 1683444 1964018 2164428 2525166 2946027 3366888 3787749 3928036 4328856 5050332 5892054 7575498 7856072 8838081 10100664 11784108 15150996 17676162 23568216 26514243 30301992 35352324 53028486 70704648 106056972 212113944