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226422000 = 2433537599
BaseRepresentation
bin11010111111011…
…10110011110000
3120210001102121000
431133232303300
5430431001000
634245002000
75416361310
oct1537566360
9523042530
10226422000
1110689a222
12639b3300
1337ba881c
14220dd440
1514d28000
hexd7eecf0

226422000 has 320 divisors, whose sum is σ = 928512000. Its totient is φ = 51667200.

The previous prime is 226421957. The next prime is 226422023. The reversal of 226422000 is 224622.

226422000 = 2912 + 2922 + ... + 8892.

It is a happy number.

226422000 is a `hidden beast` number, since 2 + 2 + 642 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377701 + ... + 378299.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2226422000 is an apocalyptic number.

226422000 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 226422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256000).

226422000 is an abundant number, since it is smaller than the sum of its proper divisors (702090000).

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

226422000 is a wasteful number, since it uses less digits than its factorization.

226422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226422000 is about 15047.3253437280. The cubic root of 226422000 is about 609.4988269073.

Adding to 226422000 its reverse (224622), we get a palindrome (226646622).

It can be divided in two parts, 22642 and 2000, that added together give a palindrome (24642).

The spelling of 226422000 in words is "two hundred twenty-six million, four hundred twenty-two thousand".