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234132004200 = 23352390220007
BaseRepresentation
bin1101101000001101011…
…0101101110101101000
3211101100001200011001010
43122003112231311220
512314000243113300
6255320405223520
722626003125223
oct3320326556550
9741301604033
10234132004200
119032745a136
1239462401ba0
1319103773773
14b4912025ba
156154beaa50
hex36835add68

234132004200 has 48 divisors (see below), whose sum is σ = 725809214880. Its totient is φ = 62435200960.

The previous prime is 234132004193. The next prime is 234132004213. The reversal of 234132004200 is 2400231432.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195109404 + ... + 195110603.

It is an arithmetic number, because the mean of its divisors is an integer number (15121025310).

Almost surely, 2234132004200 is an apocalyptic number.

234132004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234132004200 is an abundant number, since it is smaller than the sum of its proper divisors (491677210680).

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

234132004200 is a wasteful number, since it uses less digits than its factorization.

234132004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390220026 (or 390220017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 234132004200 its reverse (2400231432), we get a palindrome (236532235632).

The spelling of 234132004200 in words is "two hundred thirty-four billion, one hundred thirty-two million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 390220007 780440014 1170660021 1560880028 1951100035 2341320042 3121760056 3902200070 4682640084 5853300105 7804400140 9365280168 9755500175 11706600210 15608800280 19511000350 23413200420 29266500525 39022000700 46826400840 58533001050 78044001400 117066002100 234132004200