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226516440150 = 23252711133713591
BaseRepresentation
bin1101001011110101101…
…1101001010001010110
3210122200022122102010100
43102331123221101112
512202401202041100
6252021001234530
722236200654460
oct3227533512126
9718608572110
10226516440150
1188079697150
1237a97a92a46
131848ba82950
14ad6ba0b130
155d5b33c400
hex34bd6e9456

226516440150 has 576 divisors, whose sum is σ = 839252284416. Its totient is φ = 42270336000.

The previous prime is 226516440133. The next prime is 226516440181. The reversal of 226516440150 is 51044615622.

226516440150 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 1 + 644 + 0 + 1 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16659855 + ... + 16673445.

It is an arithmetic number, because the mean of its divisors is an integer number (1457035216).

Almost surely, 2226516440150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226516440150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419626142208).

226516440150 is an abundant number, since it is smaller than the sum of its proper divisors (612735844266).

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

226516440150 is a wasteful number, since it uses less digits than its factorization.

226516440150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 226516 and 440150, that added together give a palindrome (666666).

The spelling of 226516440150 in words is "two hundred twenty-six billion, five hundred sixteen million, four hundred forty thousand, one hundred fifty".