Search a number
-
+
223934201856 = 214341983107
BaseRepresentation
bin1101000010001110000…
…1001100000000000000
3210102000100201010010000
43100203201030000000
512132104123424411
6250512435040000
722115204211111
oct3204341140000
9712010633100
10223934201856
1186a74023312
1237497140000
1318169abb3b1
14aba4ab0208
155c597b9956
hex342384c000

223934201856 has 600 divisors, whose sum is σ = 719374582080. Its totient is φ = 69211127808.

The previous prime is 223934201849. The next prime is 223934201969. The reversal of 223934201856 is 658102439322.

223934201856 is a `hidden beast` number, since 2 + 2 + 393 + 4 + 201 + 8 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2092842955 + ... + 2092843061.

Almost surely, 2223934201856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223934201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359687291040).

223934201856 is an abundant number, since it is smaller than the sum of its proper divisors (495440380224).

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

223934201856 is an equidigital number, since it uses as much as digits as its factorization.

223934201856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 223934201856 in words is "two hundred twenty-three billion, nine hundred thirty-four million, two hundred one thousand, eight hundred fifty-six".