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16830220 = 22511113677
BaseRepresentation
bin100000000110…
…0111100001100
31011200001201111
41000030330030
513302031340
61400421404
7263024461
oct100147414
934601644
1016830220
119555880
125777864
133643714
142341668
151726aea
hex100cf0c

16830220 has 48 divisors (see below), whose sum is σ = 38955168. Its totient is φ = 6056960.

The previous prime is 16830217. The next prime is 16830251. The reversal of 16830220 is 2203861.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 16830191 and 16830200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24522 + ... + 25198.

It is an arithmetic number, because the mean of its divisors is an integer number (811566).

Almost surely, 216830220 is an apocalyptic number.

16830220 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 16830220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477584).

16830220 is an abundant number, since it is smaller than the sum of its proper divisors (22124948).

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

16830220 is a wasteful number, since it uses less digits than its factorization.

16830220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16830220 is about 4102.4651125878. The cubic root of 16830220 is about 256.2693088762.

The spelling of 16830220 in words is "sixteen million, eight hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 677 1130 1243 1354 2260 2486 2708 3385 4972 6215 6770 7447 12430 13540 14894 24860 29788 37235 74470 76501 148940 153002 306004 382505 765010 841511 1530020 1683022 3366044 4207555 8415110 16830220