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230520310400 = 275272037597
BaseRepresentation
bin1101011010110000010…
…1001100101010000000
3211001000100122002120002
43112230011030222000
512234101144413100
6253522150135132
722440336210542
oct3265405145200
9731010562502
10230520310400
1189843784126
12388149514a8
131897942ab43
14b22b68b692
155ee2ac92d5
hex35ac14ca80

230520310400 has 48 divisors (see below), whose sum is σ = 569457212190. Its totient is φ = 92208122880.

The previous prime is 230520310399. The next prime is 230520310429. The reversal of 230520310400 is 4013025032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 148188042304 + 82332268096 = 384952^2 + 286936^2 .

It is a super-2 number, since 2×2305203104002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36015599 + ... + 36021998.

Almost surely, 2230520310400 is an apocalyptic number.

230520310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230520310400 is an abundant number, since it is smaller than the sum of its proper divisors (338936901790).

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

230520310400 is an equidigital number, since it uses as much as digits as its factorization.

230520310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72037621 (or 72037604 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 230520310400 its reverse (4013025032), we get a palindrome (234533335432).

The spelling of 230520310400 in words is "two hundred thirty billion, five hundred twenty million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 72037597 144075194 288150388 360187985 576300776 720375970 1152601552 1440751940 1800939925 2305203104 2881503880 3601879850 4610406208 5763007760 7203759700 9220812416 11526015520 14407519400 23052031040 28815038800 46104062080 57630077600 115260155200 230520310400