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226266401376 = 25332272414787
BaseRepresentation
bin1101001010111010000…
…1110100101001100000
3210122000220011010102000
43102232201310221200
512201343144321001
6251540110124000
722230043451451
oct3225641645140
9718026133360
10226266401376
1187a60537334
1237a281b0600
131844c028702
14ad46721128
155d443eba86
hex34ae874a60

226266401376 has 192 divisors, whose sum is σ = 665740373760. Its totient is φ = 74762680320.

The previous prime is 226266401359. The next prime is 226266401399. The reversal of 226266401376 is 673104662622.

226266401376 is a `hidden beast` number, since 2 + 2 + 626 + 6 + 4 + 0 + 13 + 7 + 6 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47264455 + ... + 47269241.

It is an arithmetic number, because the mean of its divisors is an integer number (3467397780).

Almost surely, 2226266401376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226266401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332870186880).

226266401376 is an abundant number, since it is smaller than the sum of its proper divisors (439473972384).

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

226266401376 is a wasteful number, since it uses less digits than its factorization.

226266401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 226266401376 in words is "two hundred twenty-six billion, two hundred sixty-six million, four hundred one thousand, three hundred seventy-six".