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226276740 = 2235546559
BaseRepresentation
bin11010111110010…
…11010110000100
3120202210001100000
431133023112010
5430411323430
634241521300
75415214644
oct1537132604
9522701300
10226276740
11106800078
1263943230
1337b57681
14220a2524
1514ce9e60
hexd7cb584

226276740 has 72 divisors (see below), whose sum is σ = 711809280. Its totient is φ = 60339168.

The previous prime is 226276717. The next prime is 226276747. The reversal of 226276740 is 47672622.

226276740 is a `hidden beast` number, since 22 + 627 + 6 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226276695 and 226276704.

It is not an unprimeable number, because it can be changed into a prime (226276747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18420 + ... + 28139.

It is an arithmetic number, because the mean of its divisors is an integer number (9886240).

Almost surely, 2226276740 is an apocalyptic number.

226276740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226276740 is an abundant number, since it is smaller than the sum of its proper divisors (485532540).

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

226276740 is a wasteful number, since it uses less digits than its factorization.

226276740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46583 (or 46569 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 226276740 is about 15042.4977979058. The cubic root of 226276740 is about 609.3684586280.

The spelling of 226276740 in words is "two hundred twenty-six million, two hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 46559 93118 139677 186236 232795 279354 419031 465590 558708 698385 838062 931180 1257093 1396770 1676124 2095155 2514186 2793540 3771279 4190310 5028372 6285465 7542558 8380620 11313837 12570930 15085116 18856395 22627674 25141860 37712790 45255348 56569185 75425580 113138370 226276740