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226563260 = 225721121017
BaseRepresentation
bin11011000000100…
…01010010111100
3120210022121100212
431200101102330
5431000011020
634252011552
75420520200
oct1540212274
9523277325
10226563260
11106986370
1263a60bb8
1337c27c01
1422138b00
1514d54cc5
hexd8114bc

226563260 has 72 divisors (see below), whose sum is σ = 603805104. Its totient is φ = 70613760.

The previous prime is 226563257. The next prime is 226563263. The reversal of 226563260 is 62365622.

It is an interprime number because it is at equal distance from previous prime (226563257) and next prime (226563263).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226563263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272 + ... + 21288.

It is an arithmetic number, because the mean of its divisors is an integer number (8386182).

Almost surely, 2226563260 is an apocalyptic number.

226563260 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 226563260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301902552).

226563260 is an abundant number, since it is smaller than the sum of its proper divisors (377241844).

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

226563260 is a wasteful number, since it uses less digits than its factorization.

226563260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21051 (or 21042 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 226563260 is about 15052.0184692951. The cubic root of 226563260 is about 609.6255517921.

The spelling of 226563260 in words is "two hundred twenty-six million, five hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 21017 42034 84068 105085 147119 210170 231187 294238 420340 462374 588476 735595 924748 1029833 1155935 1471190 1618309 2059666 2311870 2942380 3236618 4119332 4623740 5149165 6473236 8091545 10298330 11328163 16183090 20596660 22656326 32366180 45312652 56640815 113281630 226563260