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231404472 = 233313233583
BaseRepresentation
bin11011100101011…
…11001110111000
3121010102120021000
431302233032320
5433214420342
634543445000
75506622415
oct1562571670
9533376230
10231404472
11109692672
12655b6760
1338c31630
1422a3910c
15154ae44c
hexdcaf3b8

231404472 has 128 divisors (see below), whose sum is σ = 722534400. Its totient is φ = 68086656.

The previous prime is 231404447. The next prime is 231404479. The reversal of 231404472 is 274404132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231404479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62793 + ... + 66375.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2231404472 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 231404472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361267200).

231404472 is an abundant number, since it is smaller than the sum of its proper divisors (491129928).

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

231404472 is a wasteful number, since it uses less digits than its factorization.

231404472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 231404472 is about 15211.9844859242. The cubic root of 231404472 is about 613.9371529360.

The spelling of 231404472 in words is "two hundred thirty-one million, four hundred four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 92 104 108 117 138 156 184 207 216 234 276 299 312 351 414 468 552 598 621 702 828 897 936 1196 1242 1404 1656 1794 2392 2484 2691 2808 3583 3588 4968 5382 7166 7176 8073 10749 10764 14332 16146 21498 21528 28664 32247 32292 42996 46579 64494 64584 82409 85992 93158 96741 128988 139737 164818 186316 193482 247227 257976 279474 329636 372632 386964 419211 494454 558948 659272 741681 773928 838422 988908 1071317 1117896 1257633 1483362 1676844 1977816 2142634 2225043 2515266 2966724 3213951 3353688 4285268 4450086 5030532 5933448 6427902 8570536 8900172 9641853 10061064 12855804 17800344 19283706 25711608 28925559 38567412 57851118 77134824 115702236 231404472