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229199574240 = 253357132325349
BaseRepresentation
bin1101010101110101011…
…0111111010011100000
3210220121022102202011000
43111131112333103200
512223400042333430
6253143130152000
722362531144030
oct3253526772340
9726538382130
10229199574240
118922620353a
1238506582600
13187c8912660
14b1440cd8c0
155e66b8ee60
hex355d5bf4e0

229199574240 has 768 divisors, whose sum is σ = 1030288896000. Its totient is φ = 46254219264.

The previous prime is 229199574221. The next prime is 229199574269. The reversal of 229199574240 is 42475991922.

It is a happy number.

229199574240 is a `hidden beast` number, since 2 + 29 + 1 + 9 + 9 + 574 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9029086 + ... + 9054434.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522000).

Almost surely, 2229199574240 is an apocalyptic number.

229199574240 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 229199574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448000).

229199574240 is an abundant number, since it is smaller than the sum of its proper divisors (801089321760).

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

229199574240 is a wasteful number, since it uses less digits than its factorization.

229199574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25416 (or 25402 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 229199574240 in words is "two hundred twenty-nine billion, one hundred ninety-nine million, five hundred seventy-four thousand, two hundred forty".