Search a number
-
+
223131202120 = 235193137511249
BaseRepresentation
bin1100111111001110100…
…1111111001001001000
3210022221101201111120001
43033303221333021020
512123433041431440
6250301032012344
722056253632031
oct3176351771110
9708841644501
10223131202120
11866a1823772
12372b22310b4
131806c628018
14ab2a1a3a88
155c0e04db9a
hex33f3a7f248

223131202120 has 128 divisors (see below), whose sum is σ = 531288000000. Its totient is φ = 84105216000.

The previous prime is 223131202097. The next prime is 223131202121. The reversal of 223131202120 is 21202131322.

It is a super-3 number, since 3×2231312021203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (223131202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178647256 + ... + 178648504.

It is an arithmetic number, because the mean of its divisors is an integer number (4150687500).

Almost surely, 2223131202120 is an apocalyptic number.

223131202120 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 223131202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265644000000).

223131202120 is an abundant number, since it is smaller than the sum of its proper divisors (308156797880).

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

223131202120 is a wasteful number, since it uses less digits than its factorization.

223131202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 223131202120 its reverse (21202131322), we get a palindrome (244333333442).

It can be divided in two parts, 223131202 and 120, that added together give a palindrome (223131322).

The spelling of 223131202120 in words is "two hundred twenty-three billion, one hundred thirty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 313 380 626 751 760 1249 1252 1502 1565 2498 2504 3004 3130 3755 4996 5947 6008 6245 6260 7510 9992 11894 12490 12520 14269 15020 23731 23788 24980 28538 29735 30040 47462 47576 49960 57076 59470 71345 94924 114152 118655 118940 142690 189848 235063 237310 237880 285380 390937 470126 474620 570760 781874 937999 940252 949240 1175315 1563748 1875998 1880504 1954685 2350630 3127496 3751996 3909370 4466197 4689995 4701260 7427803 7503992 7818740 8932394 9379990 9402520 14855606 15637480 17821981 17864788 18759980 22330985 29711212 35643962 35729576 37139015 37519960 44661970 59422424 71287924 74278030 89109905 89323940 142575848 148556060 178219810 178647880 293593687 297112120 356439620 587187374 712879240 1174374748 1467968435 2348749496 2935936870 5578280053 5871873740 11156560106 11743747480 22313120212 27891400265 44626240424 55782800530 111565601060 223131202120