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227456135142000 = 243533110120635869
BaseRepresentation
bin110011101101111011000010…
…001000110001101001110000
31002211100121001010210120212120
4303231323002020301221300
5214303120131044021000
62123431523404154240
765624110032340032
oct6355730210615160
91084317033716776
10227456135142000
1166524672578066
1221616633538980
1399bc03834110b
144024d15717c52
151b469c92e26a0
hexcedec2231a70

227456135142000 has 640 divisors, whose sum is σ = 764969690234880. Its totient is φ = 58079116800000.

The previous prime is 227456135141999. The next prime is 227456135142007. The reversal of 227456135142000 is 241531654722.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227456135142007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38755515066 + ... + 38755520934.

It is an arithmetic number, because the mean of its divisors is an integer number (1195265140992).

Almost surely, 2227456135142000 is an apocalyptic number.

227456135142000 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 227456135142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382484845117440).

227456135142000 is an abundant number, since it is smaller than the sum of its proper divisors (537513555092880).

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

227456135142000 is a wasteful number, since it uses less digits than its factorization.

227456135142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 227456135142000 its reverse (241531654722), we get a palindrome (227697666796722).

The spelling of 227456135142000 in words is "two hundred twenty-seven trillion, four hundred fifty-six billion, one hundred thirty-five million, one hundred forty-two thousand".