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226934100 = 2232521923577
BaseRepresentation
bin11011000011010…
…11110101010100
3120211000110001200
431201223311110
5431043342400
634303552500
75423623311
oct1541536524
9524013050
10226934100
11107109a48
1263bbb730
1338027943
14221d3d08
1514dc9b00
hexd86bd54

226934100 has 216 divisors, whose sum is σ = 782658240. Its totient is φ = 54743040.

The previous prime is 226934063. The next prime is 226934111. The reversal of 226934100 is 1439622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393012 + ... + 393588.

Almost surely, 2226934100 is an apocalyptic number.

226934100 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 226934100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391329120).

226934100 is an abundant number, since it is smaller than the sum of its proper divisors (555724140).

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

226934100 is a wasteful number, since it uses less digits than its factorization.

226934100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

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

The square root of 226934100 is about 15064.3320462608. The cubic root of 226934100 is about 609.9579833104.

The spelling of 226934100 in words is "two hundred twenty-six million, nine hundred thirty-four thousand, one hundred".