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226265144 = 23724712281
BaseRepresentation
bin11010111110010…
…00100000111000
3120202202110102112
431133020200320
5430410441034
634241351452
75415136100
oct1537104070
9522673375
10226265144
111067a2396
1263938588
1337b52301
142209c200
1514ce67ce
hexd7c8838

226265144 has 48 divisors (see below), whose sum is σ = 504053280. Its totient is φ = 94899840.

The previous prime is 226265131. The next prime is 226265159. The reversal of 226265144 is 441562622.

It is a self number, because there is not a number n which added to its sum of digits gives 226265144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12284 + ... + 24564.

It is an arithmetic number, because the mean of its divisors is an integer number (10501110).

Almost surely, 2226265144 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 226265144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252026640).

226265144 is an abundant number, since it is smaller than the sum of its proper divisors (277788136).

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

226265144 is a wasteful number, since it uses less digits than its factorization.

226265144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348 (or 12337 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 226265144 is about 15042.1123516613. The cubic root of 226265144 is about 609.3580490187.

The spelling of 226265144 in words is "two hundred twenty-six million, two hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2632 4606 9212 12281 18424 24562 49124 85967 98248 171934 343868 577207 601769 687736 1154414 1203538 2308828 2407076 4040449 4617656 4814152 8080898 16161796 28283143 32323592 56566286 113132572 226265144