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10223343204 = 2232953678273
BaseRepresentation
bin10011000010101101…
…11101011001100100
3222101111000122101220
421201112331121210
5131414133440304
64410241420340
7511225661214
oct114126753144
928344018356
1010223343204
1143768a1078
121b9393a6b0
13c6c058809
146cdaa0244
153ec7c8ad9
hex2615bd664

10223343204 has 96 divisors (see below), whose sum is σ = 25520987520. Its totient is φ = 3179624448.

The previous prime is 10223343199. The next prime is 10223343239. The reversal of 10223343204 is 40234332201.

10223343204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231612 + ... + 1239884.

It is an arithmetic number, because the mean of its divisors is an integer number (265843620).

Almost surely, 210223343204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223343204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760493760).

10223343204 is an abundant number, since it is smaller than the sum of its proper divisors (15297644316).

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

10223343204 is a wasteful number, since it uses less digits than its factorization.

10223343204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10223343204 its reverse (40234332201), we get a palindrome (50457675405).

The spelling of 10223343204 in words is "ten billion, two hundred twenty-three million, three hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 29 53 58 67 87 106 116 134 159 174 201 212 268 318 348 402 636 804 1537 1943 3074 3551 3886 4611 5829 6148 7102 7772 8273 9222 10653 11658 14204 16546 18444 21306 23316 24819 33092 42612 49638 99276 102979 205958 239917 308937 411916 438469 479834 554291 617874 719751 876938 959668 1108582 1235748 1315407 1439502 1662873 1753876 2217164 2630814 2879004 3325746 5261628 6651492 12715601 16074439 25431202 29377423 32148878 38146803 48223317 50862404 58754846 64297756 76293606 88132269 96446634 117509692 152587212 176264538 192893268 352529076 851945267 1703890534 2555835801 3407781068 5111671602 10223343204