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140225112 = 233217223293
BaseRepresentation
bin10000101101110…
…10101001011000
3100202212011200200
420112322221120
5241344200422
621525302200
73321615366
oct1026725130
9322764620
10140225112
1172176225
123ab64960
1323088951
14148a2636
15c49d2ac
hex85baa58

140225112 has 144 divisors (see below), whose sum is σ = 422407440. Its totient is φ = 41935872.

The previous prime is 140225087. The next prime is 140225143. The reversal of 140225112 is 211522041.

140225112 is a `hidden beast` number, since 1 + 402 + 251 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478438 + ... + 478730.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 2140225112 is an apocalyptic number.

140225112 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 140225112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211203720).

140225112 is an abundant number, since it is smaller than the sum of its proper divisors (282182328).

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

140225112 is a wasteful number, since it uses less digits than its factorization.

140225112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 140225112 is about 11841.6684635232. The cubic root of 140225112 is about 519.5275689439.

Adding to 140225112 its reverse (211522041), we get a palindrome (351747153).

The spelling of 140225112 in words is "one hundred forty million, two hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 289 293 306 391 408 414 552 578 586 612 782 828 867 879 1156 1172 1173 1224 1564 1656 1734 1758 2312 2344 2346 2601 2637 3128 3468 3516 3519 4692 4981 5202 5274 6647 6739 6936 7032 7038 9384 9962 10404 10548 13294 13478 14076 14943 19924 19941 20217 20808 21096 26588 26956 28152 29886 39848 39882 40434 44829 53176 53912 59772 59823 60651 79764 80868 84677 89658 114563 119544 119646 121302 159528 161736 169354 179316 229126 239292 242604 254031 338708 343689 358632 458252 478584 485208 508062 677416 687378 762093 916504 1016124 1031067 1374756 1524186 1947571 2032248 2062134 2749512 3048372 3895142 4124268 5842713 6096744 7790284 8248536 11685426 15580568 17528139 23370852 35056278 46741704 70112556 140225112