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10022112 = 2532172389
BaseRepresentation
bin100110001110…
…110011100000
3200212011202100
4212032303200
510031201422
6554450400
7151120662
oct46166340
920764670
1010022112
115725841
123433a00
1320cb959
14148c532
15d2e7ac
hex98ece0

10022112 has 144 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 2973696.

The previous prime is 10022107. The next prime is 10022113. The reversal of 10022112 is 21122001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10022094 and 10022103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112564 + ... + 112652.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 210022112 is an apocalyptic number.

10022112 is a gapful number since it is divisible by the number (12) 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 10022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

10022112 is an abundant number, since it is smaller than the sum of its proper divisors (21820608).

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

10022112 is a wasteful number, since it uses less digits than its factorization.

10022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10022112 is about 3165.7719437761. The cubic root of 10022112 is about 215.6021483029.

Adding to 10022112 its reverse (21122001), we get a palindrome (31144113).

The spelling of 10022112 in words is "ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 89 92 96 102 136 138 144 153 178 184 204 207 267 272 276 288 306 356 368 391 408 414 534 544 552 612 712 736 782 801 816 828 1068 1104 1173 1224 1424 1513 1564 1602 1632 1656 2047 2136 2208 2346 2448 2848 3026 3128 3204 3312 3519 4094 4272 4539 4692 4896 6052 6141 6256 6408 6624 7038 8188 8544 9078 9384 12104 12282 12512 12816 13617 14076 16376 18156 18423 18768 24208 24564 25632 27234 28152 32752 34799 36312 36846 37536 48416 49128 54468 56304 65504 69598 72624 73692 98256 104397 108936 112608 139196 145248 147384 196512 208794 217872 278392 294768 313191 417588 435744 556784 589536 626382 835176 1113568 1252764 1670352 2505528 3340704 5011056 10022112