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223020223400 = 23521385777009
BaseRepresentation
bin1100111110110100001…
…0101000101110101000
3210022122122220012101002
43033231002220232220
512123221134122100
6250242025214132
722053435422642
oct3175502505650
9708578805332
10223020223400
1186645113817
1237281031348
131805263c340
14ab19555892
155c0442b2d5
hex33ed0a8ba8

223020223400 has 48 divisors (see below), whose sum is σ = 558408335100. Its totient is φ = 82345927680.

The previous prime is 223020223337. The next prime is 223020223451. The reversal of 223020223400 is 4322020322.

223020223400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59061636676 + 163958586724 = 243026^2 + 404918^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42885905 + ... + 42891104.

Almost surely, 2223020223400 is an apocalyptic number.

223020223400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223020223400 is an abundant number, since it is smaller than the sum of its proper divisors (335388111700).

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

223020223400 is a wasteful number, since it uses less digits than its factorization.

223020223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85777038 (or 85777029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 223020223400 its reverse (4322020322), we get a palindrome (227342243722).

The spelling of 223020223400 in words is "two hundred twenty-three billion, twenty million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 85777009 171554018 343108036 428885045 686216072 857770090 1115101117 1715540180 2144425225 2230202234 3431080360 4288850450 4460404468 5575505585 8577700900 8920808936 11151011170 17155401800 22302022340 27877527925 44604044680 55755055850 111510111700 223020223400