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112514220 = 223257136869
BaseRepresentation
bin1101011010011…
…01010010101100
321211201022111100
412231031102230
5212300423340
615055323100
72534232540
oct655152254
9254638440
10112514220
1158569665
1231820490
131a405880
1410d2ba20
159d27830
hex6b4d4ac

112514220 has 144 divisors (see below), whose sum is σ = 420114240. Its totient is φ = 23735808.

The previous prime is 112514203. The next prime is 112514231. The reversal of 112514220 is 22415211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112514193 and 112514202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12946 + ... + 19814.

It is an arithmetic number, because the mean of its divisors is an integer number (2917460).

Almost surely, 2112514220 is an apocalyptic number.

112514220 is a gapful number since it is divisible by the number (10) 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 112514220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210057120).

112514220 is an abundant number, since it is smaller than the sum of its proper divisors (307600020).

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

112514220 is a wasteful number, since it uses less digits than its factorization.

112514220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6899 counting only the distinct ones).

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

The square root of 112514220 is about 10607.2720338455. The cubic root of 112514220 is about 482.7650310889.

Adding to 112514220 its reverse (22415211), we get a palindrome (134929431).

Subtracting from 112514220 its reverse (22415211), we obtain a palindrome (90099009).

The spelling of 112514220 in words is "one hundred twelve million, five hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 6869 8190 13738 16380 20607 27476 34345 41214 48083 61821 68690 82428 89297 96166 103035 123642 137380 144249 178594 192332 206070 240415 247284 267891 288498 309105 357188 412140 432747 446485 480830 535782 576996 618210 625079 721245 803673 865494 892970 961660 1071564 1236420 1250158 1339455 1442490 1607346 1730988 1785940 1875237 2163735 2500316 2678910 2884980 3125395 3214692 3750474 4018365 4327470 5357820 5625711 6250790 7500948 8036730 8654940 9376185 11251422 12501580 16073460 18752370 22502844 28128555 37504740 56257110 112514220