Search a number
-
+
223121003132200 = 23523675935126131
BaseRepresentation
bin110010101110110101101000…
…001000100011010100101000
31002021000011022100002211212011
4302232311220020203110220
5213221103303300212300
62110312212424125304
764665650312263555
oct6256655010432450
91067004270084764
10223121003132200
11651030a4574258
1221036418606834
1397662b3052904
143d15185405a2c
151abdd5171deba
hexcaed68223528

223121003132200 has 96 divisors (see below), whose sum is σ = 521047122456960. Its totient is φ = 88855107148800.

The previous prime is 223121003132197. The next prime is 223121003132201. The reversal of 223121003132200 is 2231300121322.

It is a super-3 number, since 3×2231210031322003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223121003132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40963135 + ... + 46089265.

It is an arithmetic number, because the mean of its divisors is an integer number (5427574192260).

Almost surely, 2223121003132200 is an apocalyptic number.

223121003132200 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 223121003132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260523561228480).

223121003132200 is an abundant number, since it is smaller than the sum of its proper divisors (297926119324760).

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

223121003132200 is a wasteful number, since it uses less digits than its factorization.

223121003132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127107 (or 5127098 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223121003132200 its reverse (2231300121322), we get a palindrome (225352303253522).

The spelling of 223121003132200 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 593 734 1186 1468 1835 2372 2936 2965 3670 4744 5930 7340 9175 11860 14680 14825 18350 23720 29650 36700 59300 73400 118600 217631 435262 870524 1088155 1741048 2176310 4352620 5126131 5440775 8705240 10252262 10881550 20504524 21763100 25630655 41009048 43526200 51261310 102522620 128153275 205045240 256306550 512613100 1025226200 1881290077 3039795683 3762580154 6079591366 7525160308 9406450385 12159182732 15050320616 15198978415 18812900770 24318365464 30397956830 37625801540 47032251925 60795913660 75251603080 75994892075 94064503850 121591827320 151989784150 188129007700 303979568300 376258015400 607959136600 1115605015661 2231210031322 4462420062644 5578025078305 8924840125288 11156050156610 22312100313220 27890125391525 44624200626440 55780250783050 111560501566100 223121003132200