Search a number
-
+
2225790540 = 2232512365503
BaseRepresentation
bin1000010010101010…
…1101111001001100
312202010012212121200
42010222231321030
514024300244130
61004510225500
7106104623151
oct20452557114
95663185550
102225790540
11a42445416
125214b5290
1329619162c
14171872228
15d0613760
hex84aade4c

2225790540 has 36 divisors (see below), whose sum is σ = 6751565184. Its totient is φ = 593544096.

The previous prime is 2225790533. The next prime is 2225790557. The reversal of 2225790540 is 450975222.

It is a happy number.

2225790540 is a `hidden beast` number, since 2 + 2 + 25 + 7 + 90 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2225790495 and 2225790504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6182572 + ... + 6182931.

Almost surely, 22225790540 is an apocalyptic number.

2225790540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225790540 is an abundant number, since it is smaller than the sum of its proper divisors (4525774644).

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

2225790540 is a wasteful number, since it uses less digits than its factorization.

2225790540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365518 (or 12365513 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2225790540 is about 47178.2846233307. The cubic root of 2225790540 is about 1305.6539814560.

The spelling of 2225790540 in words is "two billion, two hundred twenty-five million, seven hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12365503 24731006 37096509 49462012 61827515 74193018 111289527 123655030 148386036 185482545 222579054 247310060 370965090 445158108 556447635 741930180 1112895270 2225790540