Search a number
-
+
226172880 = 24325314129
BaseRepresentation
bin11010111101100…
…01111111010000
3120202120202212100
431132301333100
5430400013010
634235400400
75414303103
oct1536617720
9522522770
10226172880
1110673a03a
12638b3100
1337b1c30b
142207673a
1514cc92c0
hexd7b1fd0

226172880 has 60 divisors (see below), whose sum is σ = 759566340. Its totient is φ = 60312576.

The previous prime is 226172833. The next prime is 226172951. The reversal of 226172880 is 88271622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 173290896 + 52881984 = 13164^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 156345 + ... + 157784.

It is an arithmetic number, because the mean of its divisors is an integer number (12659439).

Almost surely, 2226172880 is an apocalyptic number.

226172880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226172880 is an abundant number, since it is smaller than the sum of its proper divisors (533393460).

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

226172880 is a wasteful number, since it uses less digits than its factorization.

226172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314148 (or 314139 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 226172880 is about 15039.0451824576. The cubic root of 226172880 is about 609.2752119047.

The spelling of 226172880 in words is "two hundred twenty-six million, one hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 314129 628258 942387 1256516 1570645 1884774 2513032 2827161 3141290 3769548 4711935 5026064 5654322 6282580 7539096 9423870 11308644 12565160 14135805 15078192 18847740 22617288 25130320 28271610 37695480 45234576 56543220 75390960 113086440 226172880