Search a number
-
+
227980221840 = 24345729712441
BaseRepresentation
bin1101010001010010101…
…1100001110110010000
3210210110100000020010000
43110110223201312100
512213400414044330
6252422131210000
722320363624540
oct3242453416620
9723410006100
10227980221840
118875a989a88
1238226146900
1318663103767
14b06a1a3320
155de4ad0560
hex3514ae1d90

227980221840 has 800 divisors, whose sum is σ = 949702786560. Its totient is φ = 49583923200.

The previous prime is 227980221823. The next prime is 227980221841. The reversal of 227980221840 is 48122089722.

It is a happy number.

227980221840 is a `hidden beast` number, since 2 + 279 + 80 + 221 + 84 + 0 = 666.

It is a super-2 number, since 2×2279802218402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (227980221841) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 93395020 + ... + 93397460.

Almost surely, 2227980221840 is an apocalyptic number.

227980221840 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 227980221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474851393280).

227980221840 is an abundant number, since it is smaller than the sum of its proper divisors (721722564720).

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

227980221840 is a wasteful number, since it uses less digits than its factorization.

227980221840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 227980221840 in words is "two hundred twenty-seven billion, nine hundred eighty million, two hundred twenty-one thousand, eight hundred forty".