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231200210320 = 2454170487869
BaseRepresentation
bin1101011101010010011…
…0110011110110010000
3211002202201222120220121
43113110212303312100
512241444223212240
6254113434520024
722463233235212
oct3272446636620
9732681876817
10231200210320
118a062544a92
1238984596014
1318a572503a1
14b293ab25b2
15603262b04a
hex35d49b3d90

231200210320 has 40 divisors (see below), whose sum is σ = 550651240440. Its totient is φ = 90224471040.

The previous prime is 231200210309. The next prime is 231200210333. The reversal of 231200210320 is 23012002132.

It can be written as a sum of positive squares in 4 ways, for example, as 911556864 + 230288653456 = 30192^2 + 479884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231200210294 and 231200210303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35240655 + ... + 35247214.

It is an arithmetic number, because the mean of its divisors is an integer number (13766281011).

Almost surely, 2231200210320 is an apocalyptic number.

231200210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231200210320 is an abundant number, since it is smaller than the sum of its proper divisors (319451030120).

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

231200210320 is a wasteful number, since it uses less digits than its factorization.

231200210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70487923 (or 70487917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 231200210320 its reverse (23012002132), we get a palindrome (254212212452).

The spelling of 231200210320 in words is "two hundred thirty-one billion, two hundred million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 70487869 140975738 281951476 352439345 563902952 704878690 1127805904 1409757380 2819514760 2890002629 5639029520 5780005258 11560010516 14450013145 23120021032 28900026290 46240042064 57800052580 115600105160 231200210320