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112303422 = 2357113001
BaseRepresentation
bin1101011000110…
…01110100111110
321211022121100000
412230121310332
5212222202142
615051015130
72532364140
oct654316476
9254277300
10112303422
1158435250
123173a4a6
131a36093a
1410cb4c90
159cd514c
hex6b19d3e

112303422 has 96 divisors (see below), whose sum is σ = 314705664. Its totient is φ = 29160000.

The previous prime is 112303409. The next prime is 112303423. The reversal of 112303422 is 224303211.

112303422 is a `hidden beast` number, since 11 + 230 + 3 + 422 = 666.

It is a super-2 number, since 2×1123034222 = 25224117185820168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 112303395 and 112303404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112303423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35922 + ... + 38922.

It is an arithmetic number, because the mean of its divisors is an integer number (3278184).

Almost surely, 2112303422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112303422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157352832).

112303422 is an abundant number, since it is smaller than the sum of its proper divisors (202402242).

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

112303422 is a wasteful number, since it uses less digits than its factorization.

112303422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112303422 is about 10597.3308903705. The cubic root of 112303422 is about 482.4633521164.

Adding to 112303422 its reverse (224303211), we get a palindrome (336606633).

The spelling of 112303422 in words is "one hundred twelve million, three hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3001 3402 4158 5346 6002 6237 9003 12474 18006 18711 21007 27009 33011 37422 42014 54018 63021 66022 81027 99033 126042 162054 189063 198066 231077 243081 297099 378126 462154 486162 567189 594198 693231 729243 891297 1134378 1386462 1458486 1701567 1782594 2079693 2673891 3403134 4159386 5104701 5347782 6239079 8021673 10209402 12478158 16043346 18717237 37434474 56151711 112303422