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212212012152 = 23372354920293
BaseRepresentation
bin1100010110100011010…
…0100101010001111000
3202021202102100011211210
43011220310211101320
511434102233342102
6241253331523120
721221545224660
oct3055064452170
9667672304753
10212212012152
1181aa916a728
12351654594a0
131701c38567a
14a3b1d2b1a0
1557c062336c
hex3168d25478

212212012152 has 64 divisors (see below), whose sum is σ = 632681786880. Its totient is φ = 57995828352.

The previous prime is 212212012151. The next prime is 212212012153. The reversal of 212212012152 is 251210212212.

212212012152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212212012151) and next prime (212212012153).

It is a super-2 number, since 2×2122120121522 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212012151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27456283 + ... + 27464010.

It is an arithmetic number, because the mean of its divisors is an integer number (9885652920).

Almost surely, 2212212012152 is an apocalyptic number.

It is an amenable number.

212212012152 is an abundant number, since it is smaller than the sum of its proper divisors (420469774728).

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

212212012152 is a wasteful number, since it uses less digits than its factorization.

212212012152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54920332 (or 54920328 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 212212012152 its reverse (251210212212), we get a palindrome (463422224364).

The spelling of 212212012152 in words is "two hundred twelve billion, two hundred twelve million, twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 54920293 109840586 164760879 219681172 329521758 384442051 439362344 659043516 768884102 1153326153 1263166739 1318087032 1537768204 2306652306 2526333478 3075536408 3789500217 4613304612 5052666956 7579000434 8842167173 9226609224 10105333912 15158000868 17684334346 26526501519 30316001736 35368668692 53053003038 70737337384 106106006076 212212012152