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229096944000 = 2733533117107
BaseRepresentation
bin1101010101011100111…
…1011111000110000000
3210220100011022120221000
43111113033133012000
512223142304202000
6253125022332000
722360143615351
oct3252717370600
9726304276830
10229096944000
1189183285961
123849812a000
13187b058a8c2
14b134615d28
155e5cb6b000
hex35573df180

229096944000 has 512 divisors, whose sum is σ = 871111987200. Its totient is φ = 59118336000.

The previous prime is 229096943993. The next prime is 229096944007. The reversal of 229096944000 is 449690922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (229096943993) and next prime (229096944007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229096944007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13383447 + ... + 13400553.

It is an arithmetic number, because the mean of its divisors is an integer number (1701390600).

Almost surely, 2229096944000 is an apocalyptic number.

229096944000 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 229096944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435555993600).

229096944000 is an abundant number, since it is smaller than the sum of its proper divisors (642015043200).

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

229096944000 is a wasteful number, since it uses less digits than its factorization.

229096944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 229096944000 in words is "two hundred twenty-nine billion, ninety-six million, nine hundred forty-four thousand".