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227972141628 = 2237112933125703
BaseRepresentation
bin1101010001010000110…
…0101101001000111100
3210210102202210201010220
43110110030231020330
512213341332013003
6252421242101340
722320235142220
oct3242414551074
9723382721126
10227972141628
1188756370220
12382234aa850
131866153497a
14b06909c780
155de4036353
hex351432d23c

227972141628 has 192 divisors, whose sum is σ = 688159825920. Its totient is φ = 56996755200.

The previous prime is 227972141627. The next prime is 227972141633. The reversal of 227972141628 is 826141279722.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227972141623) 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 63 ways as a sum of consecutive naturals, for example, 8856625 + ... + 8882327.

It is an arithmetic number, because the mean of its divisors is an integer number (3584165760).

Almost surely, 2227972141628 is an apocalyptic number.

227972141628 is a gapful number since it is divisible by the number (28) 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 227972141628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344079912960).

227972141628 is an abundant number, since it is smaller than the sum of its proper divisors (460187684292).

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

227972141628 is a wasteful number, since it uses less digits than its factorization.

227972141628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26088 (or 26086 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 227972141628 in words is "two hundred twenty-seven billion, nine hundred seventy-two million, one hundred forty-one thousand, six hundred twenty-eight".