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226913400 = 23355272329
BaseRepresentation
bin11011000011001…
…10110001111000
3120210222101200000
431201212301320
5431042212100
634303313000
75423506050
oct1541466170
9523871600
10226913400
111070a543a
1263bab760
133801b3ac
14221ca560
1514dc3900
hexd866c78

226913400 has 576 divisors, whose sum is σ = 974937600. Its totient is φ = 47900160.

The previous prime is 226913387. The next prime is 226913417. The reversal of 226913400 is 4319622.

226913400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7824586 + ... + 7824614.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2226913400 is an apocalyptic number.

226913400 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 226913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

226913400 is an abundant number, since it is smaller than the sum of its proper divisors (748024200).

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

226913400 is a wasteful number, since it uses less digits than its factorization.

226913400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 226913400 is about 15063.6449772291. The cubic root of 226913400 is about 609.9394367894.

The spelling of 226913400 in words is "two hundred twenty-six million, nine hundred thirteen thousand, four hundred".