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227114064100 = 2252721110141719
BaseRepresentation
bin1101001110000100001…
…1011001100011100100
3210201012222011212001201
43103201003121203210
512210112200022400
6252200150332244
722260045456400
oct3234103314344
9721188155051
10227114064100
1188355a71940
123802405a084
1318555828ba1
14adc7136100
155d93a3b06a
hex34e10d98e4

227114064100 has 216 divisors, whose sum is σ = 631626448320. Its totient is φ = 70086240000.

The previous prime is 227114064083. The next prime is 227114064197. The reversal of 227114064100 is 1460411722.

It is a super-2 number, since 2×2271140641002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5423041 + ... + 5464759.

It is an arithmetic number, because the mean of its divisors is an integer number (2924196520).

Almost surely, 2227114064100 is an apocalyptic number.

227114064100 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 227114064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315813224160).

227114064100 is an abundant number, since it is smaller than the sum of its proper divisors (404512384220).

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

227114064100 is a wasteful number, since it uses less digits than its factorization.

227114064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41859 (or 41845 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 227114064100 its reverse (1460411722), we get a palindrome (228574475822).

The spelling of 227114064100 in words is "two hundred twenty-seven billion, one hundred fourteen million, sixty-four thousand, one hundred".