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112202420 = 225111094679
BaseRepresentation
bin1101011000000…
…01001010110100
321211010110210012
412230001022310
5212210434140
615044515352
72531463521
oct654011264
9254113705
10112202420
1158376380
12316abb58
131a326985
1410c8a148
159cb5265
hex6b012b4

112202420 has 48 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 40417920.

The previous prime is 112202411. The next prime is 112202459. The reversal of 112202420 is 24202211.

It is a junction number, because it is equal to n+sod(n) for n = 112202395 and 112202404.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21641 + ... + 26319.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2112202420 is an apocalyptic number.

112202420 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 112202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

112202420 is an abundant number, since it is smaller than the sum of its proper divisors (147256780).

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

112202420 is a wasteful number, since it uses less digits than its factorization.

112202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 112202420 is about 10592.5643731818. The cubic root of 112202420 is about 482.3186715164.

Adding to 112202420 its reverse (24202211), we get a palindrome (136404631).

The spelling of 112202420 in words is "one hundred twelve million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 1090 1199 2180 2398 4679 4796 5995 9358 11990 18716 23395 23980 46790 51469 93580 102938 205876 257345 510011 514690 1020022 1029380 2040044 2550055 5100110 5610121 10200220 11220242 22440484 28050605 56101210 112202420