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226868440 = 23515137561
BaseRepresentation
bin11011000010110…
…11110011011000
3120210220002222211
431201123303120
5431034242230
634302324504
75423231011
oct1541336330
9523802884
10226868440
11107074687
1263b89734
1338003aa6
14221b8008
1514db542a
hexd85bcd8

226868440 has 32 divisors (see below), whose sum is σ = 513848160. Its totient is φ = 90144000.

The previous prime is 226868437. The next prime is 226868449. The reversal of 226868440 is 44868622.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 226868393 and 226868402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226868449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12741 + ... + 24820.

It is an arithmetic number, because the mean of its divisors is an integer number (16057755).

Almost surely, 2226868440 is an apocalyptic number.

226868440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226868440 is an abundant number, since it is smaller than the sum of its proper divisors (286979720).

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

226868440 is a wasteful number, since it uses less digits than its factorization.

226868440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37723 (or 37719 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 226868440 is about 15062.1525686072. The cubic root of 226868440 is about 609.8991502183.

The spelling of 226868440 in words is "two hundred twenty-six million, eight hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 37561 75122 150244 187805 300488 375610 751220 1502440 5671711 11343422 22686844 28358555 45373688 56717110 113434220 226868440