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226106279140 = 22573312115039
BaseRepresentation
bin1101001010010011111…
…1000000010011100100
3210121121201212001222211
43102210333000103210
512201031201413030
6251512150133204
722223060443000
oct3224477002344
9717551761884
10226106279140
1187989111105
12379a2651204
1318424ac4421
14ad2d35d700
155d3531d12a
hex34a4fc04e4

226106279140 has 192 divisors, whose sum is σ = 574414848000. Its totient is φ = 74651068800.

The previous prime is 226106279117. The next prime is 226106279141. The reversal of 226106279140 is 41972601622.

It is a super-2 number, since 2×2261062791402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226106279093 and 226106279102.

It is not an unprimeable number, because it can be changed into a prime (226106279141) 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, 44868741 + ... + 44873779.

It is an arithmetic number, because the mean of its divisors is an integer number (2991744000).

Almost surely, 2226106279140 is an apocalyptic number.

226106279140 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 226106279140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287207424000).

226106279140 is an abundant number, since it is smaller than the sum of its proper divisors (348308568860).

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

226106279140 is a wasteful number, since it uses less digits than its factorization.

226106279140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 226106279140 in words is "two hundred twenty-six billion, one hundred six million, two hundred seventy-nine thousand, one hundred forty".