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10222210096 = 2471096311327
BaseRepresentation
bin10011000010100101…
…01000110000110000
3222101101220002001221
421201102220300300
5131413341210341
64410201234424
7511213231540
oct114122506060
928341802057
1010222210096
11437619781a
121b93492a14
13c6ba4cb37
146cd887320
153ec652ed1
hex2614a8c30

10222210096 has 80 divisors (see below), whose sum is σ = 22895994880. Its totient is φ = 4330609920.

The previous prime is 10222210081. The next prime is 10222210099. The reversal of 10222210096 is 69001222201.

It is a super-3 number, since 3×102222100963 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10222210096.

It is not an unprimeable number, because it can be changed into a prime (10222210099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7702585 + ... + 7703911.

It is an arithmetic number, because the mean of its divisors is an integer number (286199936).

Almost surely, 210222210096 is an apocalyptic number.

10222210096 is a gapful number since it is divisible by the number (16) 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 10222210096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11447997440).

10222210096 is an abundant number, since it is smaller than the sum of its proper divisors (12673784784).

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

10222210096 is a wasteful number, since it uses less digits than its factorization.

10222210096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10222210096 its reverse (69001222201), we get a palindrome (79223432297).

The spelling of 10222210096 in words is "ten billion, two hundred twenty-two million, two hundred ten thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 631 763 872 1262 1327 1526 1744 2524 2654 3052 4417 5048 5308 6104 8834 9289 10096 10616 12208 17668 18578 21232 35336 37156 68779 70672 74312 137558 144643 148624 275116 289286 481453 550232 578572 837337 962906 1012501 1100464 1157144 1674674 1925812 2025002 2314288 3349348 3851624 4050004 5861359 6698696 7703248 8100008 11722718 13397392 16200016 23445436 46890872 91269733 93781744 182539466 365078932 638888131 730157864 1277776262 1460315728 2555552524 5111105048 10222210096