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229889802240 = 223335729
BaseRepresentation
bin1101011000011010000…
…0000000000000000000
3210222101102012221222000
43112012200000000000
512231303242132430
6253335424144000
722415612035410
oct3260640000000
9728342187860
10229889802240
118954a888aaa
1238679768000
13188a890cba7
14b1aba42640
155ea7581e60
hex3586800000

229889802240 has 768 divisors, whose sum is σ = 966367584000. Its totient is φ = 50734301184.

The previous prime is 229889802223. The next prime is 229889802281. The reversal of 229889802240 is 42208988922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 31 ways as a sum of consecutive naturals, for example, 7927234546 + ... + 7927234574.

It is an arithmetic number, because the mean of its divisors is an integer number (1258291125).

Almost surely, 2229889802240 is an apocalyptic number.

229889802240 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 229889802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483183792000).

229889802240 is an abundant number, since it is smaller than the sum of its proper divisors (736477781760).

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

229889802240 is an frugal number, since it uses more digits than its factorization.

229889802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 229889802240 in words is "two hundred twenty-nine billion, eight hundred eighty-nine million, eight hundred two thousand, two hundred forty".