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1224312040 = 23572624649
BaseRepresentation
bin100100011111001…
…1000010011101000
310011022202111101101
41020332120103220
510001410441130
6321253131144
742224323600
oct11076302350
93138674341
101224312040
11579101836
122a2029ab4
131668574c3
14b885bc00
157273e1ca
hex48f984e8

1224312040 has 48 divisors (see below), whose sum is σ = 3204454500. Its totient is φ = 419763456.

The previous prime is 1224312017. The next prime is 1224312041. The reversal of 1224312040 is 402134221.

It can be written as a sum of positive squares in 2 ways, for example, as 1185149476 + 39162564 = 34426^2 + 6258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1224311999 and 1224312017.

It is not an unprimeable number, because it can be changed into a prime (1224312041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310365 + ... + 314284.

Almost surely, 21224312040 is an apocalyptic number.

1224312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224312040 is an abundant number, since it is smaller than the sum of its proper divisors (1980142460).

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

1224312040 is a wasteful number, since it uses less digits than its factorization.

1224312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624674 (or 624663 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1224312040 is about 34990.1706197612. The cubic root of 1224312040 is about 1069.7871414005.

Adding to 1224312040 its reverse (402134221), we get a palindrome (1626446261).

The spelling of 1224312040 in words is "one billion, two hundred twenty-four million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 624649 1249298 2498596 3123245 4372543 4997192 6246490 8745086 12492980 17490172 21862715 24985960 30607801 34980344 43725430 61215602 87450860 122431204 153039005 174901720 244862408 306078010 612156020 1224312040