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228209100 = 223527271401
BaseRepresentation
bin11011001101000…
…11000111001100
3120220102020000220
431212203013030
5431410142400
634351151340
75440513440
oct1546430714
9526366026
10228209100
111078aa969
1264515550
1338383092
1422446820
151507c7a0
hexd9a31cc

228209100 has 144 divisors (see below), whose sum is σ = 759284736. Its totient is φ = 51840000.

The previous prime is 228209063. The next prime is 228209101. The reversal of 228209100 is 1902822.

228209100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228209101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568900 + ... + 569300.

Almost surely, 2228209100 is an apocalyptic number.

228209100 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 228209100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379642368).

228209100 is an abundant number, since it is smaller than the sum of its proper divisors (531075636).

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

228209100 is a wasteful number, since it uses less digits than its factorization.

228209100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 228209100 is about 15106.5912766580. The cubic root of 228209100 is about 611.0981740757.

The spelling of 228209100 in words is "two hundred twenty-eight million, two hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 271 300 350 401 420 525 542 700 802 813 1050 1084 1203 1355 1604 1626 1897 2005 2100 2406 2710 2807 3252 3794 4010 4065 4812 5420 5614 5691 6015 6775 7588 8020 8130 8421 9485 10025 11228 11382 12030 13550 14035 16260 16842 18970 20050 20325 22764 24060 27100 28070 28455 30075 33684 37940 40100 40650 42105 47425 56140 56910 60150 70175 81300 84210 94850 108671 113820 120300 140350 142275 168420 189700 210525 217342 280700 284550 326013 421050 434684 543355 569100 652026 760697 842100 1086710 1304052 1521394 1630065 2173420 2282091 2716775 3042788 3260130 3803485 4564182 5433550 6520260 7606970 8150325 9128364 10867100 11410455 15213940 16300650 19017425 22820910 32601300 38034850 45641820 57052275 76069700 114104550 228209100