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1233228000 = 25353102769
BaseRepresentation
bin100100110000001…
…1001000011100000
310011221112110210010
41021200121003200
510011201244000
6322212204520
742363156624
oct11140310340
93157473703
101233228000
115831414a4
122a5009740
13168659814
14b9add184
1573400d50
hex498190e0

1233228000 has 96 divisors (see below), whose sum is σ = 4040094240. Its totient is φ = 328857600.

The previous prime is 1233227993. The next prime is 1233228001. The reversal of 1233228000 is 8223321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233228001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39385 + ... + 63384.

It is an arithmetic number, because the mean of its divisors is an integer number (42084315).

Almost surely, 21233228000 is an apocalyptic number.

1233228000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233228000 is an abundant number, since it is smaller than the sum of its proper divisors (2806866240).

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

1233228000 is a wasteful number, since it uses less digits than its factorization.

1233228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102797 (or 102779 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1233228000 is about 35117.3461411878. The cubic root of 1233228000 is about 1072.3777442814.

The spelling of 1233228000 in words is "one billion, two hundred thirty-three million, two hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 102769 205538 308307 411076 513845 616614 822152 1027690 1233228 1541535 1644304 2055380 2466456 2569225 3083070 3288608 4110760 4932912 5138450 6166140 7707675 8221520 9865824 10276900 12332280 12846125 15415350 16443040 20553800 24664560 25692250 30830700 38538375 41107600 49329120 51384500 61661400 77076750 82215200 102769000 123322800 154153500 205538000 246645600 308307000 411076000 616614000 1233228000