Search a number
-
+
226460850 = 235272112801
BaseRepresentation
bin11010111111110…
…00010010110010
3120210010101212220
431133320102302
5430433221400
634245501510
75416612500
oct1537702262
9523111786
10226460850
11106916430
1263a11896
1337bc0405
142210d670
1514d347a0
hexd7f84b2

226460850 has 144 divisors (see below), whose sum is σ = 712963296. Its totient is φ = 47040000.

The previous prime is 226460837. The next prime is 226460881. The reversal of 226460850 is 58064622.

226460850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79450 + ... + 82250.

It is an arithmetic number, because the mean of its divisors is an integer number (4951134).

Almost surely, 2226460850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226460850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356481648).

226460850 is an abundant number, since it is smaller than the sum of its proper divisors (486502446).

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

226460850 is a wasteful number, since it uses less digits than its factorization.

226460850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 226460850 is about 15048.6162154532. The cubic root of 226460850 is about 609.5336846438.

The spelling of 226460850 in words is "two hundred twenty-six million, four hundred sixty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 49 50 55 66 70 75 77 98 105 110 147 150 154 165 175 210 231 245 275 294 330 350 385 462 490 525 539 550 735 770 825 1050 1078 1155 1225 1470 1617 1650 1925 2310 2450 2695 2801 3234 3675 3850 5390 5602 5775 7350 8085 8403 11550 13475 14005 16170 16806 19607 26950 28010 30811 39214 40425 42015 58821 61622 70025 80850 84030 92433 98035 117642 137249 140050 154055 184866 196070 210075 215677 274498 294105 308110 411747 420150 431354 462165 490175 588210 647031 686245 770275 823494 924330 980350 1078385 1294062 1372490 1470525 1509739 1540550 2058735 2156770 2310825 2941050 3019478 3235155 3431225 4117470 4529217 4621650 5391925 6470310 6862450 7548695 9058434 10293675 10783850 15097390 16175775 20587350 22646085 32351550 37743475 45292170 75486950 113230425 226460850