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212212332108 = 22337793553217
BaseRepresentation
bin1100010110100011010…
…1110011011001001100
3202021202102221102202000
43011220311303121030
511434102324111413
6241253342432300
721221551026540
oct3055065633114
9667672842660
10212212332108
1181aa9369057
1235165592690
131701c4681aa
14a3b1db1a20
1557c0688073
hex3168d7364c

212212332108 has 96 divisors (see below), whose sum is σ = 636736665600. Its totient is φ = 59864583168.

The previous prime is 212212332107. The next prime is 212212332121. The reversal of 212212332108 is 801233212212.

212212332108 is a `hidden beast` number, since 2 + 1 + 221 + 2 + 332 + 108 = 666.

212212332108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212212332107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716885 + ... + 1836332.

It is an arithmetic number, because the mean of its divisors is an integer number (6632673600).

Almost surely, 2212212332108 is an apocalyptic number.

212212332108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212212332108 is an abundant number, since it is smaller than the sum of its proper divisors (424524333492).

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

212212332108 is a wasteful number, since it uses less digits than its factorization.

212212332108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553316 (or 3553308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 212212332108 in words is "two hundred twelve billion, two hundred twelve million, three hundred thirty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 378 474 553 711 756 948 1106 1422 1659 2133 2212 2844 3318 4266 4977 6636 8532 9954 14931 19908 29862 59724 3553217 7106434 10659651 14212868 21319302 24872519 31978953 42638604 49745038 63957906 74617557 95936859 99490076 127915812 149235114 191873718 223852671 280704143 298470228 383747436 447705342 561408286 671558013 842112429 895410684 1122816572 1343116026 1684224858 1964929001 2526337287 2686232052 3368449716 3929858002 5052674574 5894787003 7579011861 7859716004 10105349148 11789574006 15158023722 17684361009 23579148012 30316047444 35368722018 53053083027 70737444036 106106166054 212212332108