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10222022112 = 253234629539
BaseRepresentation
bin10011000010100011…
…11010110111100000
3222101101112112012120
421201101322313200
5131413314201422
64410153224240
7511211516511
oct114121726740
928341475176
1010222022112
114376079565
121b93402080
13c6b9b53c3
146cd838a08
153ec61745c
hex26147ade0

10222022112 has 48 divisors (see below), whose sum is σ = 27999457920. Its totient is φ = 3259194752.

The previous prime is 10222022081. The next prime is 10222022117. The reversal of 10222022112 is 21122022201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10222022091 and 10222022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222022117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2312562 + ... + 2316977.

It is an arithmetic number, because the mean of its divisors is an integer number (583322040).

Almost surely, 210222022112 is an apocalyptic number.

10222022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222022112 is an abundant number, since it is smaller than the sum of its proper divisors (17777435808).

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

10222022112 is a wasteful number, since it uses less digits than its factorization.

10222022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629575 (or 4629567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222022112 its reverse (21122022201), we get a palindrome (31344044313).

The spelling of 10222022112 in words is "ten billion, two hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4629539 9259078 13888617 18518156 27777234 37036312 55554468 74072624 106479397 111108936 148145248 212958794 222217872 319438191 425917588 444435744 638876382 851835176 1277752764 1703670352 2555505528 3407340704 5111011056 10222022112