Search a number
-
+
226145040 = 24351185661
BaseRepresentation
bin11010111101010…
…11001100010000
3120202112100200020
431132223030100
5430343120130
634235023440
75414125662
oct1536531420
9522470606
10226145040
11106720130
126389ab80
1337b0c744
142206a532
1514cc0e10
hexd7ab310

226145040 has 80 divisors (see below), whose sum is σ = 764790336. Its totient is φ = 54822400.

The previous prime is 226145009. The next prime is 226145047. The reversal of 226145040 is 40541622.

226145040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2261450402 = 102283158233203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226145040.

It is not an unprimeable number, because it can be changed into a prime (226145047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40191 + ... + 45470.

Almost surely, 2226145040 is an apocalyptic number.

226145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226145040 is an abundant number, since it is smaller than the sum of its proper divisors (538645296).

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

226145040 is a wasteful number, since it uses less digits than its factorization.

226145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85688 (or 85682 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 226145040 is about 15038.1195632965. The cubic root of 226145040 is about 609.2502119756.

Adding to 226145040 its reverse (40541622), we get a palindrome (266686662).

The spelling of 226145040 in words is "two hundred twenty-six million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 85661 171322 256983 342644 428305 513966 685288 856610 942271 1027932 1284915 1370576 1713220 1884542 2055864 2569830 2826813 3426440 3769084 4111728 4711355 5139660 5653626 6852880 7538168 9422710 10279320 11307252 14134065 15076336 18845420 20558640 22614504 28268130 37690840 45229008 56536260 75381680 113072520 226145040