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412230441 = 371941113223
BaseRepresentation
bin11000100100100…
…010001100101001
31001201200110212010
4120210202030221
51321012333231
6104523310133
713133621010
oct3044421451
91051613763
10412230441
111a1769917
12b607b349
136753444c
143ca69a77
15262cc546
hex18922329

412230441 has 64 divisors (see below), whose sum is σ = 686407680. Its totient is φ = 214824960.

The previous prime is 412230439. The next prime is 412230451. The reversal of 412230441 is 144032214.

It is not a de Polignac number, because 412230441 - 21 = 412230439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (412230421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1848456 + ... + 1848678.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2412230441 is an apocalyptic number.

412230441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

412230441 is a deficient number, since it is larger than the sum of its proper divisors (274177239).

412230441 is a wasteful number, since it uses less digits than its factorization.

412230441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 412230441 is about 20303.4588432612. The cubic root of 412230441 is about 744.2405912706.

Adding to 412230441 its reverse (144032214), we get a palindrome (556262655).

The spelling of 412230441 in words is "four hundred twelve million, two hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 41 57 113 123 133 223 287 339 399 669 779 791 861 1561 2147 2337 2373 4237 4633 4683 5453 6441 9143 12711 13899 15029 16359 25199 27429 29659 32431 45087 64001 75597 88027 88977 97293 173717 176393 192003 264081 478781 521151 529179 616189 1033159 1216019 1436343 1848567 3099477 3351467 3648057 7232113 10054401 19630021 21696339 58890063 137410147 412230441