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112299144 = 233173743173
BaseRepresentation
bin1101011000110…
…00110010001000
321211022101110120
412230120302020
5212222033034
615050543240
72532345516
oct654306210
9254271416
10112299144
1158432011
1231737b20
131a35b9c9
1410cb34b6
159cd3c49
hex6b18c88

112299144 has 128 divisors (see below), whose sum is σ = 314202240. Its totient is φ = 33288192.

The previous prime is 112299137. The next prime is 112299151. The reversal of 112299144 is 441992211.

It is an interprime number because it is at equal distance from previous prime (112299137) and next prime (112299151).

It is a super-2 number, since 2×1122991442 = 25222195486265472, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 649042 + ... + 649214.

It is an arithmetic number, because the mean of its divisors is an integer number (2454705).

Almost surely, 2112299144 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 112299144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157101120).

112299144 is an abundant number, since it is smaller than the sum of its proper divisors (201903096).

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

112299144 is a wasteful number, since it uses less digits than its factorization.

112299144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 112299144 is about 10597.1290451707. The cubic root of 112299144 is about 482.4572258429.

The spelling of 112299144 in words is "one hundred twelve million, two hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 43 51 68 74 86 102 111 129 136 148 172 173 204 222 258 296 344 346 408 444 516 519 629 692 731 888 1032 1038 1258 1384 1462 1591 1887 2076 2193 2516 2924 2941 3182 3774 4152 4386 4773 5032 5848 5882 6364 6401 7439 7548 8772 8823 9546 11764 12728 12802 14878 15096 17544 17646 19092 19203 22317 23528 25604 27047 29756 35292 38184 38406 44634 51208 54094 59512 70584 76812 81141 89268 108188 108817 126463 153624 162282 178536 216376 217634 252926 275243 324564 326451 379389 435268 505852 550486 649128 652902 758778 825729 870536 1011704 1100972 1305804 1517556 1651458 2201944 2611608 3035112 3302916 4679131 6605832 9358262 14037393 18716524 28074786 37433048 56149572 112299144