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212212242 = 232113783349
BaseRepresentation
bin11001010011000…
…01101000010010
3112210022111110200
430221201220102
5413311242432
633020240030
75154526404
oct1451415022
9483274420
10212212242
11a9874220
125b0a0016
1334c71a98
1420280b74
151396ca7c
hexca61a12

212212242 has 96 divisors (see below), whose sum is σ = 522849600. Its totient is φ = 61637760.

The previous prime is 212212219. The next prime is 212212243. The reversal of 212212242 is 242212212.

212212242 is a `hidden beast` number, since 212 + 212 + 242 = 666.

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

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (212212243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 607884 + ... + 608232.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2212212242 is an apocalyptic number.

212212242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

212212242 is an abundant number, since it is smaller than the sum of its proper divisors (310637358).

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

212212242 is a wasteful number, since it uses less digits than its factorization.

212212242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 212212242 is about 14567.5063754920. The cubic root of 212212242 is about 596.4721140231.

Adding to 212212242 its reverse (242212212), we get a palindrome (454424454).

The spelling of 212212242 in words is "two hundred twelve million, two hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 83 99 111 166 198 222 249 333 349 407 498 666 698 747 814 913 1047 1221 1494 1826 2094 2442 2739 3071 3141 3663 3839 5478 6142 6282 7326 7678 8217 9213 11517 12913 16434 18426 23034 25826 27639 28967 33781 34551 38739 55278 57934 67562 69102 77478 86901 101343 116217 142043 173802 202686 232434 260703 284086 304029 318637 426129 521406 608058 637274 852258 955911 1071779 1278387 1911822 2143558 2556774 2867733 3215337 5735466 6430674 9646011 11789569 19292022 23579138 35368707 70737414 106106121 212212242