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212978941 = 72171671531
BaseRepresentation
bin11001011000111…
…00110011111101
3112211202110011221
430230130303331
5414010311231
633044513341
75164201600
oct1454346375
9484673157
10212978941
11aa24825a
125b3ab851
133517ca56
1420400337
1513a6ed11
hexcb1ccfd

212978941 has 24 divisors (see below), whose sum is σ = 264067776. Its totient is φ = 170674560.

The previous prime is 212978939. The next prime is 212978951. The reversal of 212978941 is 149879212.

It is a happy number.

It is not a de Polignac number, because 212978941 - 21 = 212978939 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212978951) 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 23 ways as a sum of consecutive naturals, for example, 138346 + ... + 139876.

It is an arithmetic number, because the mean of its divisors is an integer number (11002824).

Almost surely, 2212978941 is an apocalyptic number.

It is an amenable number.

212978941 is a deficient number, since it is larger than the sum of its proper divisors (51088835).

212978941 is a wasteful number, since it uses less digits than its factorization.

212978941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1722 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The square root of 212978941 is about 14593.7980320409. The cubic root of 212978941 is about 597.1895795971.

The spelling of 212978941 in words is "two hundred twelve million, nine hundred seventy-eight thousand, nine hundred forty-one".

Divisors: 1 7 17 49 119 167 833 1169 1531 2839 8183 10717 19873 26027 75019 139111 182189 255677 1275323 1789739 4346509 12528173 30425563 212978941