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226862000 = 2453671693
BaseRepresentation
bin11011000010110…
…10001110110000
3120210212210011022
431201122032300
5431034041000
634302235012
75423203151
oct1541321660
9523783138
10226862000
1110706a862
1263b85a68
1338000b91
14221b5928
1514db3585
hexd85a3b0

226862000 has 80 divisors (see below), whose sum is σ = 557068512. Its totient is φ = 89337600.

The previous prime is 226861931. The next prime is 226862003. The reversal of 226862000 is 268622.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (226862003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133154 + ... + 134846.

Almost surely, 2226862000 is an apocalyptic number.

226862000 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 226862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278534256).

226862000 is an abundant number, since it is smaller than the sum of its proper divisors (330206512).

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

226862000 is a wasteful number, since it uses less digits than its factorization.

226862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 226862000 is about 15061.9387862254. The cubic root of 226862000 is about 609.8933791972.

The spelling of 226862000 in words is "two hundred twenty-six million, eight hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 1693 2000 2680 3350 3386 5360 6700 6772 8375 8465 13400 13544 16750 16930 26800 27088 33500 33860 42325 67000 67720 84650 113431 134000 135440 169300 211625 226862 338600 423250 453724 567155 677200 846500 907448 1134310 1693000 1814896 2268620 2835775 3386000 4537240 5671550 9074480 11343100 14178875 22686200 28357750 45372400 56715500 113431000 226862000