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164210900 = 22527234587
BaseRepresentation
bin10011100100110…
…10100011010100
3102102222210000012
421302122203110
5314014222100
624143335352
74032524660
oct1162324324
9372883005
10164210900
1184769097
1246bb1558
1328036319
1417b478a0
15e63a135
hex9c9a8d4

164210900 has 36 divisors (see below), whose sum is σ = 407244768. Its totient is φ = 56300640.

The previous prime is 164210899. The next prime is 164210909. The reversal of 164210900 is 9012461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164210909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116594 + ... + 117993.

Almost surely, 2164210900 is an apocalyptic number.

164210900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164210900 is an abundant number, since it is smaller than the sum of its proper divisors (243033868).

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

164210900 is a wasteful number, since it uses less digits than its factorization.

164210900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234608 (or 234601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 164210900 is about 12814.4800908972. The cubic root of 164210900 is about 547.6049019540.

The spelling of 164210900 in words is "one hundred sixty-four million, two hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 234587 469174 938348 1172935 1642109 2345870 3284218 4691740 5864675 6568436 8210545 11729350 16421090 23458700 32842180 41052725 82105450 164210900