Search a number
-
+
231459840 = 2103255023
BaseRepresentation
bin11011100101111…
…00110000000000
3121010112101012200
431302330300000
5433223203330
634544553200
75510243013
oct1562746000
9533471180
10231459840
11109720227
1265622800
1338c508b1
1422a5137a
15154c0a60
hexdcbcc00

231459840 has 132 divisors (see below), whose sum is σ = 802161984. Its totient is φ = 61710336.

The previous prime is 231459799. The next prime is 231459853. The reversal of 231459840 is 48954132.

231459840 is a `hidden beast` number, since 23 + 1 + 4 + 598 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231459795 and 231459804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43569 + ... + 48591.

Almost surely, 2231459840 is an apocalyptic number.

231459840 is a gapful number since it is divisible by the number (20) 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 231459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401080992).

231459840 is an abundant number, since it is smaller than the sum of its proper divisors (570702144).

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

231459840 is a wasteful number, since it uses less digits than its factorization.

231459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 231459840 is about 15213.8042579757. The cubic root of 231459840 is about 613.9861144812.

The spelling of 231459840 in words is "two hundred thirty-one million, four hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5023 5120 5760 7680 9216 10046 11520 15069 15360 20092 23040 25115 30138 40184 45207 46080 50230 60276 75345 80368 90414 100460 120552 150690 160736 180828 200920 226035 241104 301380 321472 361656 401840 452070 482208 602760 642944 723312 803680 904140 964416 1205520 1285888 1446624 1607360 1808280 1928832 2411040 2571776 2893248 3214720 3616560 3857664 4822080 5143552 5786496 6429440 7233120 7715328 9644160 11572992 12858880 14466240 15430656 19288320 23145984 25717760 28932480 38576640 46291968 57864960 77153280 115729920 231459840