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231005412 = 223311337577
BaseRepresentation
bin11011100010011…
…01110011100100
3121002200021212000
431301031303210
5433114133122
634531125300
75503341111
oct1561156344
9532607760
10231005412
1110943a870
1265443830
1338b21ac1
1422973908
15154310ac
hexdc4dce4

231005412 has 96 divisors (see below), whose sum is σ = 656423040. Its totient is φ = 69672960.

The previous prime is 231005389. The next prime is 231005419. The reversal of 231005412 is 214500132.

231005412 is a `hidden beast` number, since 23 + 100 + 541 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (231005419) 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, 400068 + ... + 400644.

It is an arithmetic number, because the mean of its divisors is an integer number (6837740).

Almost surely, 2231005412 is an apocalyptic number.

231005412 is a gapful number since it is divisible by the number (22) 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 231005412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328211520).

231005412 is an abundant number, since it is smaller than the sum of its proper divisors (425417628).

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

231005412 is a wasteful number, since it uses less digits than its factorization.

231005412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 231005412 is about 15198.8621942565. The cubic root of 231005412 is about 613.5840356905.

Adding to 231005412 its reverse (214500132), we get a palindrome (445505544).

The spelling of 231005412 in words is "two hundred thirty-one million, five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 337 396 577 594 674 1011 1154 1188 1348 1731 2022 2308 3033 3462 3707 4044 5193 6066 6347 6924 7414 9099 10386 11121 12132 12694 14828 15579 18198 19041 20772 22242 25388 31158 33363 36396 38082 44484 57123 62316 66726 76164 100089 114246 133452 171369 194449 200178 228492 342738 388898 400356 583347 685476 777796 1166694 1750041 2138939 2333388 3500082 4277878 5250123 6416817 7000164 8555756 10500246 12833634 19250451 21000492 25667268 38500902 57751353 77001804 115502706 231005412