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200234406960 = 24325743391753
BaseRepresentation
bin1011101001111011100…
…1101001010000110000
3201010211200100210101200
42322132321221100300
511240040002010320
6231553022131200
720315665243140
oct2723671512060
9633750323350
10200234406960
1177a12114665
1232982120b00
1315b60a62313
14999729c920
15531dd28290
hex2e9ee69430

200234406960 has 240 divisors, whose sum is σ = 770301989184. Its totient is φ = 45661667328.

The previous prime is 200234406929. The next prime is 200234406979. The reversal of 200234406960 is 69604432002.

200234406960 is a `hidden beast` number, since 200 + 2 + 3 + 440 + 6 + 9 + 6 + 0 = 666.

200234406960 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136444 + ... + 2228196.

Almost surely, 2200234406960 is an apocalyptic number.

200234406960 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 200234406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385150994592).

200234406960 is an abundant number, since it is smaller than the sum of its proper divisors (570067582224).

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

200234406960 is a wasteful number, since it uses less digits than its factorization.

200234406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92212 (or 92203 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 200234406960 its reverse (69604432002), we get a palindrome (269838838962).

The spelling of 200234406960 in words is "two hundred billion, two hundred thirty-four million, four hundred six thousand, nine hundred sixty".