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10223311232 = 27432118803
BaseRepresentation
bin10011000010101101…
…10101100110000000
3222101110222000112202
421201112311212000
5131414131424412
64410241012332
7511225466051
oct114126654600
928343860482
1010223311232
11437687a052
121b939240a8
13c6c0470b4
146cda92728
153ec7be3c2
hex2615b5980

10223311232 has 64 divisors (see below), whose sum is σ = 20941546560. Its totient is φ = 4968552960.

The previous prime is 10223311213. The next prime is 10223311243. The reversal of 10223311232 is 23211332201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156943 + ... + 1165745.

It is an arithmetic number, because the mean of its divisors is an integer number (327211665).

Almost surely, 210223311232 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 10223311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470773280).

10223311232 is an abundant number, since it is smaller than the sum of its proper divisors (10718235328).

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

10223311232 is an equidigital number, since it uses as much as digits as its factorization.

10223311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10223311232 its reverse (23211332201), we get a palindrome (33434643433).

The spelling of 10223311232 in words is "ten billion, two hundred twenty-three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 211 344 422 688 844 1376 1688 2752 3376 5504 6752 8803 9073 13504 17606 18146 27008 35212 36292 70424 72584 140848 145168 281696 290336 378529 563392 580672 757058 1126784 1161344 1514116 1857433 3028232 3714866 6056464 7429732 12112928 14859464 24225856 29718928 48451712 59437856 79869619 118875712 159739238 237751424 319478476 638956952 1277913904 2555827808 5111655616 10223311232