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240422112 = 25327313847
BaseRepresentation
bin11100101010010…
…00110011100000
3121202101201010200
432111020303200
5443022001422
635505025200
75646361050
oct1625106340
9552351120
10240422112
11113791767
1268625200
133aa6b008
1423d05560
15161912ac
hexe548ce0

240422112 has 144 divisors (see below), whose sum is σ = 806787072. Its totient is φ = 66458880.

The previous prime is 240422099. The next prime is 240422113. The reversal of 240422112 is 211224042.

240422112 is a `hidden beast` number, since 240 + 422 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240422113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60573 + ... + 64419.

It is an arithmetic number, because the mean of its divisors is an integer number (5602688).

Almost surely, 2240422112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403393536).

240422112 is an abundant number, since it is smaller than the sum of its proper divisors (566364960).

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

240422112 is a wasteful number, since it uses less digits than its factorization.

240422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3890 counting only the distinct ones).

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

The square root of 240422112 is about 15505.5510060107. The cubic root of 240422112 is about 621.8106211715.

Adding to 240422112 its reverse (211224042), we get a palindrome (451646154).

The spelling of 240422112 in words is "two hundred forty million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3847 3906 4464 5208 6944 7694 7812 8928 10416 11541 15388 15624 20832 23082 26929 30776 31248 34623 46164 53858 61552 62496 69246 80787 92328 107716 119257 123104 138492 161574 184656 215432 238514 242361 276984 323148 357771 369312 430864 477028 484722 553968 646296 715542 834799 861728 954056 969444 1073313 1107936 1292592 1431084 1669598 1908112 1938888 2146626 2504397 2585184 2862168 3339196 3816224 3877776 4293252 5008794 5724336 6678392 7513191 7755552 8586504 10017588 11448672 13356784 15026382 17173008 20035176 26713568 30052764 34346016 40070352 60105528 80140704 120211056 240422112