Search a number
-
+
223120023000000 = 26356710624763
BaseRepresentation
bin110010101110110100101101…
…101101101001001111000000
31002021000001210000210222020120
4302232310231231221033000
5213221044301342000000
62110311531252340240
764665614111301360
oct6256645555511700
91067001700728216
10223120023000000
1165102741290445
12210361a4314680
139766187c80929
143d150d118a9a0
151abdce56646a0
hexcaed2db693c0

223120023000000 has 392 divisors, whose sum is σ = 843329847739776. Its totient is φ = 50998857600000.

The previous prime is 223120022999989. The next prime is 223120023000029. The reversal of 223120023000000 is 320021322.

It is a super-3 number, since 3×2231200230000003 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15687619 + ... + 26312381.

Almost surely, 2223120023000000 is an apocalyptic number.

223120023000000 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 223120023000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421664923869888).

223120023000000 is an abundant number, since it is smaller than the sum of its proper divisors (620209824739776).

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

223120023000000 is an frugal number, since it uses more digits than its factorization.

223120023000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624815 (or 10624780 counting only the distinct ones).

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

Adding to 223120023000000 its reverse (320021322), we get a palindrome (223120343021322).

The spelling of 223120023000000 in words is "two hundred twenty-three trillion, one hundred twenty billion, twenty-three million", and thus it is an aban number.