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226220000 = 255411311
BaseRepresentation
bin11010111101111…
…01011111100000
3120202200011111112
431132331133200
5430403020000
634240402452
75414560346
oct1536753740
9522604445
10226220000
11106771486
1263916428
1337b378b6
1422089996
1514cd8235
hexd7bd7e0

226220000 has 60 divisors (see below), whose sum is σ = 556584336. Its totient is φ = 90480000.

The previous prime is 226219999. The next prime is 226220009. The reversal of 226220000 is 22622.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226220009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14345 + ... + 25655.

Almost surely, 2226220000 is an apocalyptic number.

226220000 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 226220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278292168).

226220000 is an abundant number, since it is smaller than the sum of its proper divisors (330364336).

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

226220000 is an equidigital number, since it uses as much as digits as its factorization.

226220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 226220000 is about 15040.6116896887. The cubic root of 226220000 is about 609.3175203290.

Adding to 226220000 its reverse (22622), we get a palindrome (226242622).

Multiplying 226220000 by its reverse (22622), we get a square (5117548840000 = 22622002).

226220000 divided by its reverse (22622) gives a 4-th power (10000 = 104).

The spelling of 226220000 in words is "two hundred twenty-six million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 11311 20000 22622 45244 56555 90488 113110 180976 226220 282775 361952 452440 565550 904880 1131100 1413875 1809760 2262200 2827750 4524400 5655500 7069375 9048800 11311000 14138750 22622000 28277500 45244000 56555000 113110000 226220000