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165220000 = 255411751
BaseRepresentation
bin10011101100100…
…00111010100000
3102111220001020021
421312100322200
5314244020000
624221123224
74044226651
oct1166207240
9374801207
10165220000
1185298260
12473b9514
13282ca71a
1417d2b528
15e78911a
hex9d90ea0

165220000 has 120 divisors (see below), whose sum is σ = 444007872. Its totient is φ = 60000000.

The previous prime is 165219973. The next prime is 165220007. The reversal of 165220000 is 22561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (165220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219625 + ... + 220375.

Almost surely, 2165220000 is an apocalyptic number.

165220000 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 165220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222003936).

165220000 is an abundant number, since it is smaller than the sum of its proper divisors (278787872).

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

165220000 is an equidigital number, since it uses as much as digits as its factorization.

165220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 165220000 is about 12853.7932144562. The cubic root of 165220000 is about 548.7243161617.

Adding to 165220000 its reverse (22561), we get a palindrome (165242561).

The spelling of 165220000 in words is "one hundred sixty-five million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 751 800 880 1000 1100 1250 1375 1502 1760 2000 2200 2500 2750 3004 3755 4000 4400 5000 5500 6008 6875 7510 8261 8800 10000 11000 12016 13750 15020 16522 18775 20000 22000 24032 27500 30040 33044 37550 41305 44000 55000 60080 66088 75100 82610 93875 110000 120160 132176 150200 165220 187750 206525 220000 264352 300400 330440 375500 413050 469375 600800 660880 751000 826100 938750 1032625 1321760 1502000 1652200 1877500 2065250 3004000 3304400 3755000 4130500 5163125 6608800 7510000 8261000 10326250 15020000 16522000 20652500 33044000 41305000 82610000 165220000