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230022151040 = 27511471016883
BaseRepresentation
bin1101011000111001100…
…0110111101110000000
3210222201122020222101102
43112032120313232000
512232041132313130
6253400512553532
722422110011103
oct3261630675600
9728648228342
10230022151040
1189608564680
12386b5b528a8
13188ca16b7a6
14b1c145473a
155eb3ec6645
hex358e637b80

230022151040 has 256 divisors, whose sum is σ = 618806615040. Its totient is φ = 81042432000.

The previous prime is 230022151033. The next prime is 230022151063. The reversal of 230022151040 is 40151220032.

230022151040 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33415439 + ... + 33422321.

It is an arithmetic number, because the mean of its divisors is an integer number (2417213340).

Almost surely, 2230022151040 is an apocalyptic number.

230022151040 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 230022151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309403307520).

230022151040 is an abundant number, since it is smaller than the sum of its proper divisors (388784464000).

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

230022151040 is a wasteful number, since it uses less digits than its factorization.

230022151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 230022151040 its reverse (40151220032), we get a palindrome (270173371072).

The spelling of 230022151040 in words is "two hundred thirty billion, twenty-two million, one hundred fifty-one thousand, forty".