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162052220 = 225112113491
BaseRepresentation
bin10011010100010…
…11100001111100
3102021221002212002
421222023201330
5312441132340
624025201432
74005264311
oct1152134174
9367832762
10162052220
1183524260
1246330278
132775b8b5
1417744d08
15e360715
hex9a8b87c

162052220 has 48 divisors (see below), whose sum is σ = 373113216. Its totient is φ = 58632000.

The previous prime is 162052201. The next prime is 162052229. The reversal of 162052220 is 22250261.

162052220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 162052192 and 162052201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162052229) 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, 44675 + ... + 48165.

It is an arithmetic number, because the mean of its divisors is an integer number (7773192).

Almost surely, 2162052220 is an apocalyptic number.

162052220 is a gapful number since it is divisible by the number (10) 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 162052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186556608).

162052220 is an abundant number, since it is smaller than the sum of its proper divisors (211060996).

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

162052220 is a wasteful number, since it uses less digits than its factorization.

162052220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 162052220 is about 12729.9732914095. The cubic root of 162052220 is about 545.1947456542.

The spelling of 162052220 in words is "one hundred sixty-two million, fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 3491 4220 4642 6982 9284 11605 13964 17455 23210 34910 38401 46420 69820 76802 153604 192005 384010 736601 768020 1473202 2946404 3683005 7366010 8102611 14732020 16205222 32410444 40513055 81026110 162052220