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209628420 = 223516720921
BaseRepresentation
bin11000111111010…
…10110100000100
3112121110020010120
430133222310010
5412131102140
632445021540
75123545401
oct1437526404
9477406116
10209628420
11a8369a31
125a2548b0
13345789b1
141dbab2a8
151360c1d0
hexc7ead04

209628420 has 48 divisors (see below), whose sum is σ = 590502528. Its totient is φ = 55563520.

The previous prime is 209628407. The next prime is 209628431. The reversal of 209628420 is 24826902.

209628420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 441 + ... + 20480.

It is an arithmetic number, because the mean of its divisors is an integer number (12302136).

Almost surely, 2209628420 is an apocalyptic number.

209628420 is a gapful number since it is divisible by the number (20) 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 209628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295251264).

209628420 is an abundant number, since it is smaller than the sum of its proper divisors (380874108).

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

209628420 is a wasteful number, since it uses less digits than its factorization.

209628420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21100 (or 21098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 209628420 is about 14478.5503417987. The cubic root of 209628420 is about 594.0414101208.

The spelling of 209628420 in words is "two hundred nine million, six hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 20921 41842 62763 83684 104605 125526 209210 251052 313815 418420 627630 1255260 3493807 6987614 10481421 13975228 17469035 20962842 34938070 41925684 52407105 69876140 104814210 209628420