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226596080 = 24516317377
BaseRepresentation
bin11011000000110…
…01010011110000
3120210101021101102
431200121103300
5431002033310
634252423532
75421014654
oct1540312360
9523337342
10226596080
111069a8a97
1263a77ba8
1337c39b29
1422146a64
1514d5e8a5
hexd8194f0

226596080 has 40 divisors (see below), whose sum is σ = 530098512. Its totient is φ = 90077184.

The previous prime is 226596031. The next prime is 226596091. The reversal of 226596080 is 80695622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4352 + ... + 21728.

Almost surely, 2226596080 is an apocalyptic number.

226596080 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 226596080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265049256).

226596080 is an abundant number, since it is smaller than the sum of its proper divisors (303502432).

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

226596080 is a wasteful number, since it uses less digits than its factorization.

226596080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17553 (or 17547 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 226596080 is about 15053.1086490465. The cubic root of 226596080 is about 609.6549871980.

The spelling of 226596080 in words is "two hundred twenty-six million, five hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 13040 17377 34754 69508 86885 139016 173770 278032 347540 695080 1390160 2832451 5664902 11329804 14162255 22659608 28324510 45319216 56649020 113298040 226596080