Search a number
-
+
226240320 = 2635463509
BaseRepresentation
bin11010111110000…
…10011101000000
3120202201012101010
431133002131000
5430404142240
634241040520
75415003525
oct1537023500
9522635333
10226240320
11106785779
1263926140
1337b43c17
142209314c
1514cde280
hexd7c2740

226240320 has 112 divisors (see below), whose sum is σ = 721278720. Its totient is φ = 60082176.

The previous prime is 226240283. The next prime is 226240331. The reversal of 226240320 is 23042622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444226 + ... + 444734.

Almost surely, 2226240320 is an apocalyptic number.

226240320 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 226240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360639360).

226240320 is an abundant number, since it is smaller than the sum of its proper divisors (495038400).

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

226240320 is a wasteful number, since it uses less digits than its factorization.

226240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 226240320 is about 15041.2871789618. The cubic root of 226240320 is about 609.3357635749.

Adding to 226240320 its reverse (23042622), we get a palindrome (249282942).

The spelling of 226240320 in words is "two hundred twenty-six million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 463 480 509 926 960 1018 1389 1527 1852 2036 2315 2545 2778 3054 3704 4072 4630 5090 5556 6108 6945 7408 7635 8144 9260 10180 11112 12216 13890 14816 15270 16288 18520 20360 22224 24432 27780 29632 30540 32576 37040 40720 44448 48864 55560 61080 74080 81440 88896 97728 111120 122160 148160 162880 222240 235667 244320 444480 471334 488640 707001 942668 1178335 1414002 1885336 2356670 2828004 3535005 3770672 4713340 5656008 7070010 7541344 9426680 11312016 14140020 15082688 18853360 22624032 28280040 37706720 45248064 56560080 75413440 113120160 226240320