Search a number
-
+
223123310010 = 232537631106187
BaseRepresentation
bin1100111111001100101…
…1111000010110111010
3210022220211212112121200
43033303023320112322
512123424031410020
6250300150515030
722056126561666
oct3176313702672
9708824775550
10223123310010
1186698323267
12372ab665a76
131806aac3a33
14ab2910b8a6
155c0d4e0590
hex33f32f85ba

223123310010 has 96 divisors (see below), whose sum is σ = 596749375872. Its totient is φ = 57799163520.

The previous prime is 223123310009. The next prime is 223123310023. The reversal of 223123310010 is 10013321322.

223123310010 is a `hidden beast` number, since 22 + 312 + 331 + 0 + 0 + 1 + 0 = 666.

It is a super-3 number, since 3×2231233100103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048137 + ... + 2154323.

It is an arithmetic number, because the mean of its divisors is an integer number (6216139332).

Almost surely, 2223123310010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223123310010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298374687936).

223123310010 is an abundant number, since it is smaller than the sum of its proper divisors (373626065862).

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

223123310010 is a wasteful number, since it uses less digits than its factorization.

223123310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106868 (or 106865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223123310010 its reverse (10013321322), we get a palindrome (233136631332).

The spelling of 223123310010 in words is "two hundred twenty-three billion, one hundred twenty-three million, three hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 631 666 1110 1262 1665 1893 3155 3330 3786 5679 6310 9465 11358 18930 23347 28395 46694 56790 70041 106187 116735 140082 210123 212374 233470 318561 350205 420246 530935 637122 700410 955683 1050615 1061870 1592805 1911366 2101230 3185610 3928919 4778415 7857838 9556830 11786757 19644595 23573514 35360271 39289190 58933785 67003997 70720542 117867570 134007994 176801355 201011991 335019985 353602710 402023982 603035973 670039970 1005059955 1206071946 2010119910 2479147889 3015179865 4958295778 6030359730 7437443667 12395739445 14874887334 22312331001 24791478890 37187218335 44624662002 74374436670 111561655005 223123310010