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164215092 = 223101157863
BaseRepresentation
bin10011100100110…
…11100100110100
3102102222222202110
421302123210310
5314014340332
624143411020
74032543126
oct1162334464
9372888673
10164215092
1184771258
1246bb3a70
13280381c2
1417b49216
15e63b4cc
hex9c9b934

164215092 has 48 divisors (see below), whose sum is σ = 389878272. Its totient is φ = 53788800.

The previous prime is 164215061. The next prime is 164215097. The reversal of 164215092 is 290512461.

164215092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164215097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189853 + ... + 190715.

It is an arithmetic number, because the mean of its divisors is an integer number (8122464).

Almost surely, 2164215092 is an apocalyptic number.

164215092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164215092 is an abundant number, since it is smaller than the sum of its proper divisors (225663180).

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

164215092 is a wasteful number, since it uses less digits than its factorization.

164215092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 164215092 is about 12814.6436548193. The cubic root of 164215092 is about 547.6095616939.

The spelling of 164215092 in words is "one hundred sixty-four million, two hundred fifteen thousand, ninety-two".

Divisors: 1 2 3 4 6 12 101 157 202 303 314 404 471 606 628 863 942 1212 1726 1884 2589 3452 5178 10356 15857 31714 47571 63428 87163 95142 135491 174326 190284 261489 270982 348652 406473 522978 541964 812946 1045956 1625892 13684591 27369182 41053773 54738364 82107546 164215092