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112252420 = 22572371491
BaseRepresentation
bin1101011000011…
…01011000000100
321211020000101001
412230031120010
5212214034140
615045543044
72532062350
oct654153004
9254200331
10112252420
11583aa9a5
1231714a84
131a343667
1410ca0460
159cc4e9a
hex6b0d604

112252420 has 96 divisors (see below), whose sum is σ = 285659136. Its totient is φ = 36220800.

The previous prime is 112252409. The next prime is 112252447. The reversal of 112252420 is 24252211.

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, 228375 + ... + 228865.

It is an arithmetic number, because the mean of its divisors is an integer number (2975616).

Almost surely, 2112252420 is an apocalyptic number.

112252420 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 112252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829568).

112252420 is an abundant number, since it is smaller than the sum of its proper divisors (173406716).

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

112252420 is a wasteful number, since it uses less digits than its factorization.

112252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 112252420 is about 10594.9242564541. The cubic root of 112252420 is about 482.3903050048.

The spelling of 112252420 in words is "one hundred twelve million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 71 92 115 140 142 161 230 284 322 355 460 491 497 644 710 805 982 994 1420 1610 1633 1964 1988 2455 2485 3220 3266 3437 4910 4970 6532 6874 8165 9820 9940 11293 11431 13748 16330 17185 22586 22862 32660 34370 34861 45172 45724 56465 57155 68740 69722 79051 112930 114310 139444 158102 174305 225860 228620 244027 316204 348610 395255 488054 697220 790510 801803 976108 1220135 1581020 1603606 2440270 3207212 4009015 4880540 5612621 8018030 11225242 16036060 22450484 28063105 56126210 112252420