Search a number
-
+
226371210 = 235132272557
BaseRepresentation
bin11010111111000…
…10011010001010
3120202221211220220
431133202122022
5430422334320
634243530510
75416060242
oct1537423212
9522854826
10226371210
1110686504a
1263989a36
1337b8b680
14220c8b22
1514d17e40
hexd7e268a

226371210 has 64 divisors (see below), whose sum is σ = 587889792. Its totient is φ = 55454976.

The previous prime is 226371203. The next prime is 226371239. The reversal of 226371210 is 12173622.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87252 + ... + 89808.

It is an arithmetic number, because the mean of its divisors is an integer number (9185778).

Almost surely, 2226371210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226371210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293944896).

226371210 is an abundant number, since it is smaller than the sum of its proper divisors (361518582).

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

226371210 is a wasteful number, since it uses less digits than its factorization.

226371210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 226371210 is about 15045.6375737288. The cubic root of 226371210 is about 609.4532501224.

The spelling of 226371210 in words is "two hundred twenty-six million, three hundred seventy-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1362 2270 2557 2951 3405 5114 5902 6810 7671 8853 12785 14755 15342 17706 25570 29510 33241 38355 44265 66482 76710 88530 99723 166205 199446 332410 498615 580439 997230 1160878 1741317 2902195 3482634 5804390 7545707 8706585 15091414 17413170 22637121 37728535 45274242 75457070 113185605 226371210