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229349801142 = 2327112311273821
BaseRepresentation
bin1101010110011001010…
…0000011110010110110
3210220222210010001201100
43111212110003302312
512224202022114032
6253210054110530
722366334100240
oct3254624036266
9726883101640
10229349801142
11892a2a90200
123854894b446
1318820a90907
14b15a037090
155e74e6697c
hex3566503cb6

229349801142 has 288 divisors, whose sum is σ = 649616228352. Its totient is φ = 57180816000.

The previous prime is 229349801117. The next prime is 229349801147. The reversal of 229349801142 is 241108943922.

229349801142 is a `hidden beast` number, since 22 + 93 + 498 + 0 + 11 + 42 = 666.

229349801142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229349801147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60021592 + ... + 60025412.

It is an arithmetic number, because the mean of its divisors is an integer number (2255611904).

Almost surely, 2229349801142 is an apocalyptic number.

229349801142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 229349801142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324808114176).

229349801142 is an abundant number, since it is smaller than the sum of its proper divisors (420266427210).

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

229349801142 is a wasteful number, since it uses less digits than its factorization.

229349801142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 229349801142 in words is "two hundred twenty-nine billion, three hundred forty-nine million, eight hundred one thousand, one hundred forty-two".