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171220152 = 23343251661
BaseRepresentation
bin10100011010010…
…01110010111000
3102221011212220010
422031021302320
5322313021102
624553501520
74146230055
oct1215116270
9387155803
10171220152
1188716264
12494118a0
132961b7cc
1418a5002c
1510071d6c
hexa349cb8

171220152 has 64 divisors (see below), whose sum is σ = 440415360. Its totient is φ = 55440000.

The previous prime is 171220151. The next prime is 171220163. The reversal of 171220152 is 251022171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171220151) 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 15 ways as a sum of consecutive naturals, for example, 258702 + ... + 259362.

It is an arithmetic number, because the mean of its divisors is an integer number (6881490).

Almost surely, 2171220152 is an apocalyptic number.

171220152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171220152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220207680).

171220152 is an abundant number, since it is smaller than the sum of its proper divisors (269195208).

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

171220152 is a wasteful number, since it uses less digits than its factorization.

171220152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 171220152 is about 13085.1118451468. Note that the first 3 decimals coincide. The cubic root of 171220152 is about 555.2880057018.

The spelling of 171220152 in words is "one hundred seventy-one million, two hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 251 258 344 502 516 661 753 1004 1032 1322 1506 1983 2008 2644 3012 3966 5288 6024 7932 10793 15864 21586 28423 32379 43172 56846 64758 85269 86344 113692 129516 165911 170538 227384 259032 331822 341076 497733 663644 682152 995466 1327288 1990932 3981864 7134173 14268346 21402519 28536692 42805038 57073384 85610076 171220152