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112223020 = 225713197313
BaseRepresentation
bin1101011000001…
…10001100101100
321211011112001011
412230012030230
5212212114040
615045155004
72531610550
oct654061454
9254145034
10112223020
115838a8a8
12316bba64
131a333170
1410c93860
159cbb3ea
hex6b0632c

112223020 has 96 divisors (see below), whose sum is σ = 292457088. Its totient is φ = 35223552.

The previous prime is 112223017. The next prime is 112223029. The reversal of 112223020 is 20322211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (112223029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358384 + ... + 358696.

It is an arithmetic number, because the mean of its divisors is an integer number (3046428).

Almost surely, 2112223020 is an apocalyptic number.

112223020 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 112223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146228544).

112223020 is an abundant number, since it is smaller than the sum of its proper divisors (180234068).

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

112223020 is a wasteful number, since it uses less digits than its factorization.

112223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 112223020 is about 10593.5367087673. The cubic root of 112223020 is about 482.3481870908.

Adding to 112223020 its reverse (20322211), we get a palindrome (132545231).

It can be divided in two parts, 1122 and 23020, that added together give a palindrome (24142).

The spelling of 112223020 in words is "one hundred twelve million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 197 260 313 364 394 455 626 788 910 985 1252 1379 1565 1820 1970 2191 2561 2758 3130 3940 4069 4382 5122 5516 6260 6895 8138 8764 10244 10955 12805 13790 16276 17927 20345 21910 25610 27580 28483 35854 40690 43820 51220 56966 61661 71708 81380 89635 113932 123322 142415 179270 246644 284830 308305 358540 431627 569660 616610 801593 863254 1233220 1603186 1726508 2158135 3206372 4007965 4316270 5611151 8015930 8632540 11222302 16031860 22444604 28055755 56111510 112223020