Search a number
-
+
212141034 = 23272277417
BaseRepresentation
bin11001010010100…
…00001111101010
3112210011212210100
430221100033222
5413302003114
633014530230
75154111660
oct1451201752
9483155710
10212141034
11a9825776
125b066976
1334c48551
1420262c30
1513956909
hexca503ea

212141034 has 48 divisors (see below), whose sum is σ = 527686848. Its totient is φ = 60336576.

The previous prime is 212141021. The next prime is 212141051. The reversal of 212141034 is 430141212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212140998 and 212141016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24894 + ... + 32310.

It is an arithmetic number, because the mean of its divisors is an integer number (10993476).

Almost surely, 2212141034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212141034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263843424).

212141034 is an abundant number, since it is smaller than the sum of its proper divisors (315545814).

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

212141034 is a wasteful number, since it uses less digits than its factorization.

212141034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212141034 is about 14565.0621007945. The cubic root of 212141034 is about 596.4053909829.

Adding to 212141034 its reverse (430141212), we get a palindrome (642282246).

It can be divided in two parts, 212 and 141034, that added together give a triangular number (141246 = T531).

The spelling of 212141034 in words is "two hundred twelve million, one hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 7417 9534 14301 14834 22251 28602 44502 51919 66753 103838 133506 155757 311514 467271 934542 1683659 3367318 5050977 10101954 11785613 15152931 23571226 30305862 35356839 70713678 106070517 212141034