Search a number
-
+
223001130000 = 2435411739257
BaseRepresentation
bin1100111110101111100…
…1110011010000010000
3210022121022222011011010
43033223321303100100
512123201242130000
6250240104050520
722053114221025
oct3175371632020
9708538864133
10223001130000
1186635362650
1237276763a40
131804b6b577c
14ab16bc554c
155c02908d50
hex33ebe73410

223001130000 has 400 divisors, whose sum is σ = 796164595776. Its totient is φ = 53314560000.

The previous prime is 223001129999. The next prime is 223001130019. The reversal of 223001130000 is 31100322.

It is a happy number.

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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24085372 + ... + 24094628.

Almost surely, 2223001130000 is an apocalyptic number.

223001130000 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 223001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398082297888).

223001130000 is an abundant number, since it is smaller than the sum of its proper divisors (573163465776).

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

223001130000 is a wasteful number, since it uses less digits than its factorization.

223001130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 223001130000 its reverse (31100322), we get a palindrome (223032230322).

The spelling of 223001130000 in words is "two hundred twenty-three billion, one million, one hundred thirty thousand".