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212434134 = 23112319439
BaseRepresentation
bin11001010100101…
…11110011010110
3112210201202211220
430222113303112
5413340343014
633025111210
75156442333
oct1452276326
9483652756
10212434134
11a9a05a00
125b188506
133501ba93
14202db98a
15139b36a9
hexca97cd6

212434134 has 48 divisors (see below), whose sum is σ = 482119680. Its totient is φ = 62290800.

The previous prime is 212434127. The next prime is 212434169. The reversal of 212434134 is 431434212.

It is a super-2 number, since 2×2124341342 = 90256522576659912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17787 + ... + 27225.

It is an arithmetic number, because the mean of its divisors is an integer number (10044160).

Almost surely, 2212434134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212434134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241059840).

212434134 is an abundant number, since it is smaller than the sum of its proper divisors (269685546).

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

212434134 is a wasteful number, since it uses less digits than its factorization.

212434134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9486 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 212434134 is about 14575.1203768614. The cubic root of 212434134 is about 596.6799347188.

Adding to 212434134 its reverse (431434212), we get a palindrome (643868346).

The spelling of 212434134 in words is "two hundred twelve million, four hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 9439 11253 18878 22506 28317 56634 103829 207658 292609 311487 585218 622974 877827 1142119 1755654 2284238 3218699 3426357 6437398 6852714 9656097 19312194 35405689 70811378 106217067 212434134