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164212191 = 34111314177
BaseRepresentation
bin10011100100110…
…10110111011111
3102102222211210000
421302122313133
5314014242231
624143345343
74032531513
oct1162326737
9372884700
10164212191
118476a060
1246bb2253
1328036aa0
1417b48143
15e63a6e6
hex9c9addf

164212191 has 40 divisors (see below), whose sum is σ = 288210384. Its totient is φ = 91860480.

The previous prime is 164212187. The next prime is 164212201. The reversal of 164212191 is 191212461.

164212191 is a `hidden beast` number, since 1 + 642 + 1 + 2 + 19 + 1 = 666.

It is not a de Polignac number, because 164212191 - 22 = 164212187 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164212121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4495 + ... + 18671.

Almost surely, 2164212191 is an apocalyptic number.

164212191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164212191 is a deficient number, since it is larger than the sum of its proper divisors (123998193).

164212191 is a wasteful number, since it uses less digits than its factorization.

164212191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14213 (or 14204 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 164212191 is about 12814.5304635012. The cubic root of 164212191 is about 547.6063370112.

The spelling of 164212191 in words is "one hundred sixty-four million, two hundred twelve thousand, one hundred ninety-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3861 11583 14177 42531 127593 155947 184301 382779 467841 552903 1148337 1403523 1658709 2027311 4210569 4976127 6081933 12631707 14928381 18245799 54737397 164212191