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112202442 = 23311474019
BaseRepresentation
bin1101011000000…
…01001011001010
321211010110211000
412230001023022
5212210434232
615044515430
72531463552
oct654011312
9254113730
10112202442
11583763a0
12316abb76
131a3269a1
1410c8a162
159cb527c
hex6b012ca

112202442 has 64 divisors (see below), whose sum is σ = 277862400. Its totient is φ = 33269040.

The previous prime is 112202411. The next prime is 112202459. The reversal of 112202442 is 244202211.

112202442 is a `hidden beast` number, since 1 + 1 + 220 + 2 + 442 = 666.

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

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, 25909 + ... + 29927.

It is an arithmetic number, because the mean of its divisors is an integer number (4341600).

Almost surely, 2112202442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931200).

112202442 is an abundant number, since it is smaller than the sum of its proper divisors (165659958).

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

112202442 is a wasteful number, since it uses less digits than its factorization.

112202442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 112202442 is about 10592.5654116460. The cubic root of 112202442 is about 482.3187030398.

Adding to 112202442 its reverse (244202211), we get a palindrome (356404653).

The spelling of 112202442 in words is "one hundred twelve million, two hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4019 4653 8038 9306 12057 13959 24114 27918 36171 44209 72342 88418 108513 132627 188893 217026 265254 377786 397881 566679 795762 1133358 1193643 1700037 2077823 2387286 3400074 4155646 5100111 6233469 10200222 12466938 18700407 37400814 56101221 112202442