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481436226 = 232173534457
BaseRepresentation
bin11100101100100…
…010001001000010
31020112220111100100
4130230202021002
51441221424401
6115434503230
714634066105
oct3454421102
91215814310
10481436226
11227838187
12115294b16
137898560b
1447d2273c
152c3ecb86
hex1cb22242

481436226 has 48 divisors (see below), whose sum is σ = 1107848664. Its totient is φ = 150577152.

The previous prime is 481436201. The next prime is 481436233. The reversal of 481436226 is 622634184.

It can be written as a sum of positive squares in 4 ways, for example, as 464618025 + 16818201 = 21555^2 + 4101^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105790 + ... + 110246.

Almost surely, 2481436226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481436226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553924332).

481436226 is an abundant number, since it is smaller than the sum of its proper divisors (626412438).

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

481436226 is a wasteful number, since it uses less digits than its factorization.

481436226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4832 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 481436226 is about 21941.6550424074. The cubic root of 481436226 is about 783.7536721362.

The spelling of 481436226 in words is "four hundred eighty-one million, four hundred thirty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 353 706 1059 2118 3177 4457 6001 6354 8914 12002 13371 18003 26742 36006 40113 54009 75769 80226 108018 151538 227307 454614 681921 1363842 1573321 3146642 4719963 9439926 14159889 26746457 28319778 53492914 80239371 160478742 240718113 481436226