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16889220 = 22325101929
BaseRepresentation
bin100000001101…
…1010110000100
31011210001122200
41000123112010
513310423340
61401554500
7263361465
oct100332604
934701580
1016889220
119596137
1257a5a30
13366452a
142358d6c
151739330
hex101b584

16889220 has 72 divisors (see below), whose sum is σ = 51793560. Its totient is φ = 4454400.

The previous prime is 16889189. The next prime is 16889221. The reversal of 16889220 is 2298861.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 15492096 = 1182^2 + 3936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16889221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17716 + ... + 18644.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 216889220 is an apocalyptic number.

16889220 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 16889220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780).

16889220 is an abundant number, since it is smaller than the sum of its proper divisors (34904340).

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

16889220 is a wasteful number, since it uses less digits than its factorization.

16889220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16889220 is about 4109.6496201015. The cubic root of 16889220 is about 256.5684187603.

The spelling of 16889220 in words is "sixteen million, eight hundred eighty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 929 1010 1212 1515 1818 1858 2020 2787 3030 3636 3716 4545 4645 5574 6060 8361 9090 9290 11148 13935 16722 18180 18580 27870 33444 41805 55740 83610 93829 167220 187658 281487 375316 469145 562974 844461 938290 1125948 1407435 1688922 1876580 2814870 3377844 4222305 5629740 8444610 16889220