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223020210030000 = 2435429659388991
BaseRepresentation
bin110010101101010111110000…
…011001011000010110110000
31002020122112010220002201220220
4302231113300121120112300
5213212430342231430000
62110154023050133040
764655451465121005
oct6255276031302660
91066575126081826
10223020210030000
1165074381489799
122101a989121180
13975993c136b36
143d10342cd38ac
151abb402a711a0
hexcad5f06585b0

223020210030000 has 400 divisors, whose sum is σ = 745896516710400. Its totient is φ = 57334014080000.

The previous prime is 223020210029999. The next prime is 223020210030053. The reversal of 223020210030000 is 30012020322.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 573135505 + ... + 573524495.

It is an arithmetic number, because the mean of its divisors is an integer number (1864741291776).

Almost surely, 2223020210030000 is an apocalyptic number.

223020210030000 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 223020210030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372948258355200).

223020210030000 is an abundant number, since it is smaller than the sum of its proper divisors (522876306680400).

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

223020210030000 is a wasteful number, since it uses less digits than its factorization.

223020210030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389710 (or 389689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223020210030000 its reverse (30012020322), we get a palindrome (223050222050322).

The spelling of 223020210030000 in words is "two hundred twenty-three trillion, twenty billion, two hundred ten million, thirty thousand".