Search a number
-
+
226347360 = 25352691753
BaseRepresentation
bin11010111110111…
…00100101100000
3120202220122012120
431133130211200
5430421103420
634243224240
75415630561
oct1537344540
9522818176
10226347360
11106849138
1263978080
1337b80865
14220c0168
1514d10d40
hexd7dc960

226347360 has 96 divisors (see below), whose sum is σ = 716052960. Its totient is φ = 60100608.

The previous prime is 226347343. The next prime is 226347383. The reversal of 226347360 is 63743622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128244 + ... + 129996.

It is an arithmetic number, because the mean of its divisors is an integer number (7458885).

Almost surely, 2226347360 is an apocalyptic number.

226347360 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 226347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358026480).

226347360 is an abundant number, since it is smaller than the sum of its proper divisors (489705600).

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

226347360 is a wasteful number, since it uses less digits than its factorization.

226347360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 226347360 is about 15044.8449643059. The cubic root of 226347360 is about 609.4318457949.

The spelling of 226347360 in words is "two hundred twenty-six million, three hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 1753 2152 2690 3228 3506 4035 4304 5259 5380 6456 7012 8070 8608 8765 10518 10760 12912 14024 16140 17530 21036 21520 25824 26295 28048 32280 35060 42072 43040 52590 56096 64560 70120 84144 105180 129120 140240 168288 210360 280480 420720 471557 841440 943114 1414671 1886228 2357785 2829342 3772456 4715570 5658684 7073355 7544912 9431140 11317368 14146710 15089824 18862280 22634736 28293420 37724560 45269472 56586840 75449120 113173680 226347360