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212212197 = 33191792311
BaseRepresentation
bin11001010011000…
…01100111100101
3112210022111102000
430221201213211
5413311242242
633020235513
75154526311
oct1451414745
9483274360
10212212197
11a987418a
125b09bb99
1334c71a62
1420280b41
151396ca4c
hexca619e5

212212197 has 32 divisors (see below), whose sum is σ = 332928000. Its totient is φ = 133222320.

The previous prime is 212212177. The next prime is 212212199. The reversal of 212212197 is 791212212.

212212197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212212197 - 27 = 212212069 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212212197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90672 + ... + 92982.

It is an arithmetic number, because the mean of its divisors is an integer number (10404000).

Almost surely, 2212212197 is an apocalyptic number.

212212197 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

212212197 is a deficient number, since it is larger than the sum of its proper divisors (120715803).

212212197 is a wasteful number, since it uses less digits than its factorization.

212212197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 212212197 is about 14567.5048309585. The cubic root of 212212197 is about 596.4720718621.

The spelling of 212212197 in words is "two hundred twelve million, two hundred twelve thousand, one hundred ninety-seven".

Divisors: 1 3 9 19 27 57 171 179 513 537 1611 2311 3401 4833 6933 10203 20799 30609 43909 62397 91827 131727 395181 413669 1185543 1241007 3723021 7859711 11169063 23579133 70737399 212212197