Search a number
-
+
223100220030 = 23543263657589
BaseRepresentation
bin1100111111000111001…
…1110011001001111110
3210022212020102110010020
43033301303303021332
512123402124020110
6250254003553010
722055426403162
oct3176163631176
9708766373106
10223100220030
1186686292436
12372a398b766
131806609b01c
14ab2601aca2
155c0b47dd70
hex33f1cf327e

223100220030 has 64 divisors (see below), whose sum is σ = 549976711680. Its totient is φ = 57888786816.

The previous prime is 223100220023. The next prime is 223100220047. The reversal of 223100220030 is 30022001322.

It is a super-3 number, since 3×2231002200303 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223100219991 and 223100220009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10476 + ... + 668064.

It is an arithmetic number, because the mean of its divisors is an integer number (8593386120).

Almost surely, 2223100220030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223100220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274988355840).

223100220030 is an abundant number, since it is smaller than the sum of its proper divisors (326876491650).

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

223100220030 is a wasteful number, since it uses less digits than its factorization.

223100220030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657905.

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

Adding to 223100220030 its reverse (30022001322), we get a palindrome (253122221352).

The spelling of 223100220030 in words is "two hundred twenty-three billion, one hundred million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 263 430 526 645 789 1290 1315 1578 2630 3945 7890 11309 22618 33927 56545 67854 113090 169635 339270 657589 1315178 1972767 3287945 3945534 6575890 9863835 19727670 28276327 56552654 84828981 141381635 169657962 172945907 282763270 345891814 424144905 518837721 848289810 864729535 1037675442 1729459070 2594188605 5188377210 7436674001 14873348002 22310022003 37183370005 44620044006 74366740010 111550110015 223100220030