Search a number
-
+
223013021000 = 235371117170369
BaseRepresentation
bin1100111110110010011…
…1001010010101001000
3210022122011100021112112
43033230213022111020
512123212313133000
6250241211001452
722053320254460
oct3175447122510
9708564307475
10223013021000
1186641044520
123727a739288
1318050cb9c73
14ab185dcba0
155c039a7235
hex33ec9ca548

223013021000 has 256 divisors, whose sum is σ = 688894502400. Its totient is φ = 65421312000.

The previous prime is 223013020921. The next prime is 223013021029. The reversal of 223013021000 is 120310322.

It is a happy number.

223013021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 63 ways as a sum of consecutive naturals, for example, 1223816 + ... + 1394184.

It is an arithmetic number, because the mean of its divisors is an integer number (2690994150).

Almost surely, 2223013021000 is an apocalyptic number.

223013021000 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 223013021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344447251200).

223013021000 is an abundant number, since it is smaller than the sum of its proper divisors (465881481400).

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

223013021000 is a wasteful number, since it uses less digits than its factorization.

223013021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170425 (or 170411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 223013021000 its reverse (120310322), we get a palindrome (223133331322).

The spelling of 223013021000 in words is "two hundred twenty-three billion, thirteen million, twenty-one thousand".