Search a number
-
+
2227609440 = 253257223991
BaseRepresentation
bin1000010011000110…
…1001111101100000
312202020122021200100
42010301221331200
514030232000230
61005013222400
7106126240110
oct20461517540
95666567610
102227609440
11a43477a41
12522031a00
1329667a4c4
14171bc7040
15d0872660
hex84c69f60

2227609440 has 288 divisors, whose sum is σ = 8735440896. Its totient is φ = 506373120.

The previous prime is 2227609427. The next prime is 2227609463. The reversal of 2227609440 is 449067222.

2227609440 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 609 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×22276094402 = 9924487634354227200, which contains 22 as substring.

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 = 2227609395 and 2227609404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2247345 + ... + 2248335.

It is an arithmetic number, because the mean of its divisors is an integer number (30331392).

Almost surely, 22227609440 is an apocalyptic number.

2227609440 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 2227609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367720448).

2227609440 is an abundant number, since it is smaller than the sum of its proper divisors (6507831456).

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

2227609440 is a wasteful number, since it uses less digits than its factorization.

2227609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2227609440 is about 47197.5575639249. The cubic root of 2227609440 is about 1306.0095416301.

The spelling of 2227609440 in words is "two billion, two hundred twenty-seven million, six hundred nine thousand, four hundred forty".