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226241040 = 24356071553
BaseRepresentation
bin11010111110000…
…10101000010000
3120202201020100210
431133002220100
5430404203130
634241044120
75415005604
oct1537025020
9522636323
10226241040
11106786273
1263926640
1337b4434c
1422093504
1514cde5b0
hexd7c2a10

226241040 has 80 divisors (see below), whose sum is σ = 702955008. Its totient is φ = 60192768.

The previous prime is 226241039. The next prime is 226241053. The reversal of 226241040 is 40142622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 226240998 and 226241016.

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, 144904 + ... + 146456.

Almost surely, 2226241040 is an apocalyptic number.

226241040 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 226241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351477504).

226241040 is an abundant number, since it is smaller than the sum of its proper divisors (476713968).

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

226241040 is a wasteful number, since it uses less digits than its factorization.

226241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 226241040 is about 15041.3111130646. The cubic root of 226241040 is about 609.3364099691.

Adding to 226241040 its reverse (40142622), we get a palindrome (266383662).

The spelling of 226241040 in words is "two hundred twenty-six million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607 1214 1553 1821 2428 3035 3106 3642 4659 4856 6070 6212 7284 7765 9105 9318 9712 12140 12424 14568 15530 18210 18636 23295 24280 24848 29136 31060 36420 37272 46590 48560 62120 72840 74544 93180 124240 145680 186360 372720 942671 1885342 2828013 3770684 4713355 5656026 7541368 9426710 11312052 14140065 15082736 18853420 22624104 28280130 37706840 45248208 56560260 75413680 113120520 226241040