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226244831904 = 25327132312691
BaseRepresentation
bin1101001010110100111…
…1100010101010100000
3210121222101120021122200
43102231033202222200
512201322134110104
6251534015533200
722226362224630
oct3225517425240
9717871507580
10226244831904
1187a4a344923
1237a20b2a200
1318447715b00
14ad439086c0
155d4258ab39
hex34ad3e2aa0

226244831904 has 648 divisors, whose sum is σ = 823911038496. Its totient is φ = 57660595200.

The previous prime is 226244831899. The next prime is 226244831921. The reversal of 226244831904 is 409138442622.

226244831904 is a `hidden beast` number, since 2 + 2 + 624 + 4 + 8 + 3 + 19 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 226244831904.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 327416199 + ... + 327416889.

It is an arithmetic number, because the mean of its divisors is an integer number (1271467652).

Almost surely, 2226244831904 is an apocalyptic number.

226244831904 is a gapful number since it is divisible by the number (24) 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 226244831904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411955519248).

226244831904 is an abundant number, since it is smaller than the sum of its proper divisors (597666206592).

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

226244831904 is a wasteful number, since it uses less digits than its factorization.

226244831904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 226244831904 in words is "two hundred twenty-six billion, two hundred forty-four million, eight hundred thirty-one thousand, nine hundred four".