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10222302112 = 25111012711061
BaseRepresentation
bin10011000010100101…
…11111001110100000
3222101102001202021221
421201102333032200
5131413402131422
64410203224424
7511214064031
oct114122771640
928342052257
1010222302112
11437624a970
121b93518114
13c6ba82999
146cd8aca88
153ec6703c7
hex2614bf3a0

10222302112 has 96 divisors (see below), whose sum is σ = 22274880768. Its totient is φ = 4579200000.

The previous prime is 10222302089. The next prime is 10222302121. The reversal of 10222302112 is 21120322201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9634062 + ... + 9635122.

It is an arithmetic number, because the mean of its divisors is an integer number (232030008).

Almost surely, 210222302112 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 10222302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137440384).

10222302112 is an abundant number, since it is smaller than the sum of its proper divisors (12052578656).

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

10222302112 is a wasteful number, since it uses less digits than its factorization.

10222302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222302112 its reverse (21120322201), we get a palindrome (31342624313).

The spelling of 10222302112 in words is "ten billion, two hundred twenty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 271 352 404 542 808 1061 1084 1111 1616 2122 2168 2222 2981 3232 4244 4336 4444 5962 8488 8672 8888 11671 11924 16976 17776 23342 23848 27371 33952 35552 46684 47696 54742 93368 95392 107161 109484 186736 214322 218968 287531 301081 373472 428644 437936 575062 602162 857288 875872 1150124 1178771 1204324 1714576 2300248 2357542 2408648 3162841 3429152 4600496 4715084 4817296 6325682 9200992 9430168 9634592 12651364 18860336 25302728 29040631 37720672 50605456 58081262 101210912 116162524 232325048 319446941 464650096 638893882 929300192 1277787764 2555575528 5111151056 10222302112