Search a number
-
+
226437120 = 211355713
BaseRepresentation
bin11010111111100…
…10100000000000
3120210002012100000
431133302200000
5430431441440
634245200000
75416453350
oct1537624000
9523065300
10226437120
111068aa618
1263a00000
1337bb2680
1422104b60
1514d2c730
hexd7f2800

226437120 has 576 divisors, whose sum is σ = 1001669760. Its totient is φ = 47775744.

The previous prime is 226437109. The next prime is 226437121. The reversal of 226437120 is 21734622.

226437120 is a `hidden beast` number, since 2 + 2 + 643 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226437121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418234 + ... + 17418246.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 2226437120 is an apocalyptic number.

226437120 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 226437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500834880).

226437120 is an abundant number, since it is smaller than the sum of its proper divisors (775232640).

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

226437120 is an equidigital number, since it uses as much as digits as its factorization.

226437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226437120 is about 15047.8277502103. The cubic root of 226437120 is about 609.5123936354.

226437120 divided by its sum of digits (27) gives a triangular number (8386560 = T4095).

The spelling of 226437120 in words is "two hundred twenty-six million, four hundred thirty-seven thousand, one hundred twenty".