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4230230240 = 255311675107
BaseRepresentation
bin1111110000100100…
…0011000011100000
3101220210220221222002
43330021003003200
532130414331430
61535432303132
7206554235525
oct37411030340
911823827862
104230230240
111880944655
129a0841aa8
13525531722
142c1b6514c
1519b5a1845
hexfc2430e0

4230230240 has 96 divisors (see below), whose sum is σ = 10380109824. Its totient is φ = 1627384320.

The previous prime is 4230230233. The next prime is 4230230267. The reversal of 4230230240 is 420320324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825767 + ... + 830873.

It is an arithmetic number, because the mean of its divisors is an integer number (108126144).

Almost surely, 24230230240 is an apocalyptic number.

4230230240 is a gapful number since it is divisible by the number (40) 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 4230230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190054912).

4230230240 is an abundant number, since it is smaller than the sum of its proper divisors (6149879584).

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

4230230240 is a wasteful number, since it uses less digits than its factorization.

4230230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4230230240 is about 65040.2201718291. The cubic root of 4230230240 is about 1617.2903746171.

Adding to 4230230240 its reverse (420320324), we get a palindrome (4650550564).

The spelling of 4230230240 in words is "four billion, two hundred thirty million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 167 248 310 334 496 620 668 835 992 1240 1336 1670 2480 2672 3340 4960 5107 5177 5344 6680 10214 10354 13360 20428 20708 25535 25885 26720 40856 41416 51070 51770 81712 82832 102140 103540 158317 163424 165664 204280 207080 316634 408560 414160 633268 791585 817120 828320 852869 1266536 1583170 1705738 2533072 3166340 3411476 4264345 5066144 6332680 6822952 8528690 12665360 13645904 17057380 25330720 26438939 27291808 34114760 52877878 68229520 105755756 132194695 136459040 211511512 264389390 423023024 528778780 846046048 1057557560 2115115120 4230230240