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226187264 = 211179617
BaseRepresentation
bin11010111101101…
…01100000000000
3120202121111121002
431132311200000
5430400443024
634235551132
75414363042
oct1536654000
9522544532
10226187264
11106749926
12638bb4a8
1337b25a24
142207ba92
1514ccd6ae
hexd7b5800

226187264 has 48 divisors (see below), whose sum is σ = 455527800. Its totient is φ = 112279552.

The previous prime is 226187263. The next prime is 226187281. The reversal of 226187264 is 462781622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226187263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 366284 + ... + 366900.

Almost surely, 2226187264 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 226187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227763900).

226187264 is an abundant number, since it is smaller than the sum of its proper divisors (229340536).

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

226187264 is an equidigital number, since it uses as much as digits as its factorization.

226187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 226187264 is about 15039.5233967038. The cubic root of 226187264 is about 609.2881277309.

The spelling of 226187264 in words is "two hundred twenty-six million, one hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 512 617 716 1024 1234 1432 2048 2468 2864 4936 5728 9872 11456 19744 22912 39488 45824 78976 91648 110443 157952 183296 220886 315904 366592 441772 631808 883544 1263616 1767088 3534176 7068352 14136704 28273408 56546816 113093632 226187264