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229554924144 = 243713172434229
BaseRepresentation
bin1101010111001010001…
…0100010101001110000
3210221112002002101120120
43111302202202221300
512230112030033034
6253242302410240
722404404442420
oct3256242425160
9727462071516
10229554924144
1189398852147
12385a5590980
131885441c980
14b179390480
155e87e83c49
hex35728a2a70

229554924144 has 480 divisors, whose sum is σ = 793544209920. Its totient is φ = 55642374144.

The previous prime is 229554924077. The next prime is 229554924169. The reversal of 229554924144 is 441429455922.

229554924144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54279022 + ... + 54283250.

It is an arithmetic number, because the mean of its divisors is an integer number (1653217104).

Almost surely, 2229554924144 is an apocalyptic number.

229554924144 is a gapful number since it is divisible by the number (24) 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 229554924144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396772104960).

229554924144 is an abundant number, since it is smaller than the sum of its proper divisors (563989285776).

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

229554924144 is a wasteful number, since it uses less digits than its factorization.

229554924144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4314 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 229554924144 in words is "two hundred twenty-nine billion, five hundred fifty-four million, nine hundred twenty-four thousand, one hundred forty-four".