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230531225000000 = 26589221249
BaseRepresentation
bin110100011010101010111011…
…110001101001100001000000
31010020020120101102212212202112
4310122222323301221201000
5220204010422100000000
62134144325512034452
766362221443013001
oct6432527361514100
91106216342785675
10230531225000000
11674aa81a637521
1221a325b4992a28
139b83002949652
1440cdab11d91a8
151b9b9a5ded235
hexd1aabbc69840

230531225000000 has 126 divisors (see below), whose sum is σ = 571825268748750. Its totient is φ = 92212480000000.

The previous prime is 230531224999969. The next prime is 230531225000009. The reversal of 230531225000000 is 522135032.

It can be written as a sum of positive squares in 9 ways, for example, as 21192691016704 + 209338533983296 = 4603552^2 + 14468536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230531225000000.

It is not an unprimeable number, because it can be changed into a prime (230531225000009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20389376 + ... + 29610624.

Almost surely, 2230531225000000 is an apocalyptic number.

230531225000000 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 230531225000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285912634374375).

230531225000000 is an abundant number, since it is smaller than the sum of its proper divisors (341294043748750).

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

230531225000000 is an frugal number, since it uses more digits than its factorization.

230531225000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221301 (or 9221256 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 230531225000000 its reverse (522135032), we get a palindrome (230531747135032).

The spelling of 230531225000000 in words is "two hundred thirty trillion, five hundred thirty-one billion, two hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 78125 100000 125000 156250 200000 250000 312500 390625 500000 625000 781250 1000000 1250000 1562500 2500000 3125000 5000000 6250000 9221249 12500000 18442498 25000000 36884996 46106245 73769992 92212490 147539984 184424980 230531225 295079968 368849960 461062450 590159936 737699920 922124900 1152656125 1475399840 1844249800 2305312250 2950799680 3688499600 4610624500 5763280625 7376999200 9221249000 11526561250 14753998400 18442498000 23053122500 28816403125 36884996000 46106245000 57632806250 73769992000 92212490000 115265612500 144082015625 184424980000 230531225000 288164031250 368849960000 461062450000 576328062500 720410078125 922124900000 1152656125000 1440820156250 1844249800000 2305312250000 2881640312500 3602050390625 4610624500000 5763280625000 7204100781250 9221249000000 11526561250000 14408201562500 23053122500000 28816403125000 46106245000000 57632806250000 115265612500000 230531225000000