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230510031000 = 23353292726251
BaseRepresentation
bin1101011010101101110…
…1111111000010011000
3211000222122021211212120
43112223131333002120
512234041031443000
6253521141541240
722440152635464
oct3265335770230
9730878254776
10230510031000
11898389a3057
1238811414820
131897726c062
14b22a1734a4
155ee1c486a0
hex35ab77f098

230510031000 has 128 divisors (see below), whose sum is σ = 719464412160. Its totient is φ = 61446000000.

The previous prime is 230510030999. The next prime is 230510031001. The reversal of 230510031000 is 130015032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230510030999) and next prime (230510031001).

It is a super-2 number, since 2×2305100310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230510031001) 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, 8767875 + ... + 8794125.

It is an arithmetic number, because the mean of its divisors is an integer number (5620815720).

Almost surely, 2230510031000 is an apocalyptic number.

230510031000 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 230510031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359732206080).

230510031000 is an abundant number, since it is smaller than the sum of its proper divisors (488954381160).

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

230510031000 is a wasteful number, since it uses less digits than its factorization.

230510031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29202 (or 29188 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 230510031000 its reverse (130015032), we get a palindrome (230640046032).

The spelling of 230510031000 in words is "two hundred thirty billion, five hundred ten million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2927 3000 5854 8781 11708 14635 17562 23416 26251 29270 35124 43905 52502 58540 70248 73175 78753 87810 105004 117080 131255 146350 157506 175620 210008 219525 262510 292700 315012 351240 365875 393765 439050 525020 585400 630024 656275 731750 787530 878100 1050040 1097625 1312550 1463500 1575060 1756200 1968825 2195250 2625100 2927000 3150120 3281375 3937650 4390500 5250200 6562750 7875300 8781000 9844125 13125500 15750600 19688250 26251000 39376500 76836677 78753000 153673354 230510031 307346708 384183385 461020062 614693416 768366770 922040124 1152550155 1536733540 1844080248 1920916925 2305100310 3073467080 3841833850 4610200620 5762750775 7683667700 9220401240 9604584625 11525501550 15367335400 19209169250 23051003100 28813753875 38418338500 46102006200 57627507750 76836677000 115255015500 230510031000