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226408027776 = 27371032293571
BaseRepresentation
bin1101001011011011111…
…0000101011010000000
3210122101202122111022020
43102312332011122000
512202140423342101
6252002125441440
722233413324430
oct3226676053200
9718352574266
10226408027776
118802347a347
1237a67710280
1318472485108
14ad5b46a2c0
155d51a75136
hex34b6f85680

226408027776 has 256 divisors, whose sum is σ = 697208678400. Its totient is φ = 63762370560.

The previous prime is 226408027771. The next prime is 226408027789. The reversal of 226408027776 is 677720804622.

It is not an unprimeable number, because it can be changed into a prime (226408027771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63400071 + ... + 63403641.

It is an arithmetic number, because the mean of its divisors is an integer number (2723471400).

Almost surely, 2226408027776 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 226408027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348604339200).

226408027776 is an abundant number, since it is smaller than the sum of its proper divisors (470800650624).

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

226408027776 is a wasteful number, since it uses less digits than its factorization.

226408027776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 226408027776 in words is "two hundred twenty-six billion, four hundred eight million, twenty-seven thousand, seven hundred seventy-six".