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231200230200 = 23352457843181
BaseRepresentation
bin1101011101010010011…
…0111000101100111000
3211002202202000121011220
43113110212320230320
512241444224331300
6254113435152040
722463233350162
oct3272446705470
9732682017156
10231200230200
118a062558a15
12389845a5620
1318a57259454
14b293ab9932
156032631da0
hex35d49b8b38

231200230200 has 96 divisors (see below), whose sum is σ = 718289882160. Its totient is φ = 61518412800.

The previous prime is 231200230081. The next prime is 231200230201. The reversal of 231200230200 is 2032002132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 231200230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231200230201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147391 + ... + 695790.

Almost surely, 2231200230200 is an apocalyptic number.

231200230200 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 231200230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359144941080).

231200230200 is an abundant number, since it is smaller than the sum of its proper divisors (487089651960).

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

231200230200 is a wasteful number, since it uses less digits than its factorization.

231200230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843657 (or 843648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 231200230200 its reverse (2032002132), we get a palindrome (233232232332).

The spelling of 231200230200 in words is "two hundred thirty-one billion, two hundred million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 457 600 914 1371 1828 2285 2742 3656 4570 5484 6855 9140 10968 11425 13710 18280 22850 27420 34275 45700 54840 68550 91400 137100 274200 843181 1686362 2529543 3372724 4215905 5059086 6745448 8431810 10118172 12647715 16863620 20236344 21079525 25295430 33727240 42159050 50590860 63238575 84318100 101181720 126477150 168636200 252954300 385333717 505908600 770667434 1156001151 1541334868 1926668585 2312002302 3082669736 3853337170 4624004604 5780005755 7706674340 9248009208 9633342925 11560011510 15413348680 19266685850 23120023020 28900028775 38533371700 46240046040 57800057550 77066743400 115600115100 231200230200