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134222112 = 2532232881
BaseRepresentation
bin10000000000000…
…01000100100000
3100100120012010100
420000001010200
5233330101422
621152502400
73216604053
oct1000010440
9310505110
10134222112
1169846072
1238b4aa00
1321a6648b
1413b7ca9a
15bbb47ac
hex8001120

134222112 has 108 divisors (see below), whose sum is σ = 399463974. Its totient is φ = 42746880.

The previous prime is 134222093. The next prime is 134222113. The reversal of 134222112 is 211222431.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 128051856 + 6170256 = 11316^2 + 2484^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134222113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151912 + ... + 152792.

Almost surely, 2134222112 is an apocalyptic number.

134222112 is a gapful number since it is divisible by the number (12) 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 134222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199731987).

134222112 is an abundant number, since it is smaller than the sum of its proper divisors (265241862).

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

134222112 is a wasteful number, since it uses less digits than its factorization.

134222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 909 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 134222112 is about 11585.4267077221. The cubic root of 134222112 is about 512.0055744836.

Adding to 134222112 its reverse (211222431), we get a palindrome (345444543).

The spelling of 134222112 in words is "one hundred thirty-four million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 529 552 736 828 881 1058 1104 1587 1656 1762 2116 2208 2643 3174 3312 3524 4232 4761 5286 6348 6624 7048 7929 8464 9522 10572 12696 14096 15858 16928 19044 20263 21144 25392 28192 31716 38088 40526 42288 50784 60789 63432 76176 81052 84576 121578 126864 152352 162104 182367 243156 253728 324208 364734 466049 486312 648416 729468 932098 972624 1398147 1458936 1864196 1945248 2796294 2917872 3728392 4194441 5592588 5835744 7456784 8388882 11185176 14913568 16777764 22370352 33555528 44740704 67111056 134222112