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228742140000 = 253541117192937
BaseRepresentation
bin1101010100001000011…
…0000001000001100000
3210212102102200200100010
43111002012001001200
512221430441440000
6253025505524520
722345305052353
oct3250206010140
9725372620303
10228742140000
1189010a7a410
12383b9343740
1318754c11bca
14b0dd45829a
155e3b933d50
hex3542181060

228742140000 has 1920 divisors, whose sum is σ = 969259737600. Its totient is φ = 46448640000.

The previous prime is 228742139999. The next prime is 228742140001. The reversal of 228742140000 is 41247822.

It is an interprime number because it is at equal distance from previous prime (228742139999) and next prime (228742140001).

It is a super-2 number, since 2×2287421400002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 228742140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228742140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6182219982 + ... + 6182220018.

It is an arithmetic number, because the mean of its divisors is an integer number (504822780).

Almost surely, 2228742140000 is an apocalyptic number.

228742140000 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 228742140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484629868800).

228742140000 is an abundant number, since it is smaller than the sum of its proper divisors (740517597600).

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

228742140000 is a wasteful number, since it uses less digits than its factorization.

228742140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

Adding to 228742140000 its reverse (41247822), we get a palindrome (228783387822).

The spelling of 228742140000 in words is "two hundred twenty-eight billion, seven hundred forty-two million, one hundred forty thousand".