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10221310232 = 2372199283463
BaseRepresentation
bin10011000010011110…
…01101000100011000
3222101100012100200122
421201033031010120
5131413123411412
64410130052412
7511202463200
oct114117150430
928340170618
1010221310232
114375732731
121b9311a108
13c6b7c6383
146cd6d1400
153ec526572
hex2613cd118

10221310232 has 96 divisors (see below), whose sum is σ = 22533696000. Its totient is φ = 4333766976.

The previous prime is 10221310201. The next prime is 10221310237. The reversal of 10221310232 is 23201312201.

It is a self number, because there is not a number n which added to its sum of digits gives 10221310232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221310237) 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, 22076033 + ... + 22076495.

It is an arithmetic number, because the mean of its divisors is an integer number (234726000).

Almost surely, 210221310232 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 10221310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11266848000).

10221310232 is an abundant number, since it is smaller than the sum of its proper divisors (12312385768).

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

10221310232 is a wasteful number, since it uses less digits than its factorization.

10221310232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10221310232 its reverse (23201312201), we get a palindrome (33422622433).

The spelling of 10221310232 in words is "ten billion, two hundred twenty-one million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 199 283 392 398 463 566 796 926 1132 1393 1592 1852 1981 2264 2786 3241 3704 3962 5572 6482 7924 9751 11144 12964 13867 15848 19502 22687 25928 27734 39004 45374 55468 56317 78008 90748 92137 110936 112634 131029 181496 184274 225268 262058 368548 394219 450536 524116 644959 737096 788438 917203 1048232 1289918 1576876 1834406 2579836 2759533 3153752 3668812 4514713 5159672 5519066 6420421 7337624 9029426 11038132 12840842 18058852 22076264 25681684 26074771 36117704 51363368 52149542 104299084 182523397 208598168 365046794 730093588 1277663779 1460187176 2555327558 5110655116 10221310232