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164869224 = 233134312289
BaseRepresentation
bin10011101001110…
…11010001101000
3102111020020001120
421310323101220
5314201303344
624205415240
74041236202
oct1164732150
9374206046
10164869224
1185078763
124726a520
1328206b70
1417c79772
15e71a219
hex9d3b468

164869224 has 64 divisors (see below), whose sum is σ = 454238400. Its totient is φ = 49545216.

The previous prime is 164869223. The next prime is 164869231. The reversal of 164869224 is 422968461.

164869224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1648692242 = 54363722044724352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (164869223) 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, 7272 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (7097475).

Almost surely, 2164869224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164869224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227119200).

164869224 is an abundant number, since it is smaller than the sum of its proper divisors (289369176).

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

164869224 is a wasteful number, since it uses less digits than its factorization.

164869224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12354 (or 12350 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 164869224 is about 12840.1411207198. The cubic root of 164869224 is about 548.3357116783.

The spelling of 164869224 in words is "one hundred sixty-four million, eight hundred sixty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 12289 13416 24578 36867 49156 73734 98312 147468 159757 294936 319514 479271 528427 639028 958542 1056854 1278056 1585281 1917084 2113708 3170562 3834168 4227416 6341124 6869551 12682248 13739102 20608653 27478204 41217306 54956408 82434612 164869224