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212105334 = 23789179317
BaseRepresentation
bin11001010010001…
…11100001110110
3112210010001211010
430221013201312
5413244332314
633014053050
75153602620
oct1451074166
9483101733
10212105334
11a9800971
125b04a186
1334c3521c
1420253c10
151394b059
hexca47876

212105334 has 64 divisors (see below), whose sum is σ = 494553600. Its totient is φ = 59397888.

The previous prime is 212105323. The next prime is 212105347. The reversal of 212105334 is 433501212.

212105334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121053342 = 89977345422503112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212105334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668944 + ... + 669260.

It is an arithmetic number, because the mean of its divisors is an integer number (7727400).

Almost surely, 2212105334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212105334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247276800).

212105334 is an abundant number, since it is smaller than the sum of its proper divisors (282448266).

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

212105334 is a wasteful number, since it uses less digits than its factorization.

212105334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 212105334 is about 14563.8365137762. The cubic root of 212105334 is about 596.3719338899.

Adding to 212105334 its reverse (433501212), we get a palindrome (645606546).

The spelling of 212105334 in words is "two hundred twelve million, one hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 89 178 179 267 317 358 534 537 623 634 951 1074 1246 1253 1869 1902 2219 2506 3738 3759 4438 6657 7518 13314 15931 28213 31862 47793 56426 56743 84639 95586 111517 113486 169278 170229 197491 223034 334551 340458 394982 397201 592473 669102 794402 1184946 1191603 2383206 5050127 10100254 15150381 30300762 35350889 70701778 106052667 212105334