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226244340 = 22345771281
BaseRepresentation
bin11010111110000…
…11011011110100
3120202201101220000
431133003123310
5430404304330
634241111300
75415021330
oct1537033364
9522641800
10226244340
111067887a3
1263928530
1337b459ba
14220947c0
1514ce0560
hexd7c36f4

226244340 has 240 divisors, whose sum is σ = 825479424. Its totient is φ = 50803200.

The previous prime is 226244329. The next prime is 226244351. The reversal of 226244340 is 43442622.

226244340 is a `hidden beast` number, since 2 + 2 + 624 + 4 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226244329) and next prime (226244351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805000 + ... + 805280.

Almost surely, 2226244340 is an apocalyptic number.

226244340 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 226244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412739712).

226244340 is an abundant number, since it is smaller than the sum of its proper divisors (599235084).

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

226244340 is a wasteful number, since it uses less digits than its factorization.

226244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 226244340 is about 15041.4208105485. The cubic root of 226244340 is about 609.3393725916.

Adding to 226244340 its reverse (43442622), we get a palindrome (269686962).

The spelling of 226244340 in words is "two hundred twenty-six million, two hundred forty-four thousand, three hundred forty".