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218238930000 = 24325471326647
BaseRepresentation
bin1100101101000000001…
…1011100110001010000
3202212022110001022212100
43023100003130301100
512033423131230000
6244131345400400
721524110204020
oct3132003346120
9685273038770
10218238930000
1184611206273
1236367939100
131776cbb7550
14a7c4545a80
155a247c6a00
hex32d00dcc50

218238930000 has 600 divisors, whose sum is σ = 939374403968. Its totient is φ = 46044288000.

The previous prime is 218238929999. The next prime is 218238930047. The reversal of 218238930000 is 39832812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8176677 + ... + 8203323.

Almost surely, 2218238930000 is an apocalyptic number.

218238930000 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 218238930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469687201984).

218238930000 is an abundant number, since it is smaller than the sum of its proper divisors (721135473968).

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

218238930000 is a wasteful number, since it uses less digits than its factorization.

218238930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26701 (or 26677 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 218238930000 in words is "two hundred eighteen billion, two hundred thirty-eight million, nine hundred thirty thousand".