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1224140420 = 225172211789
BaseRepresentation
bin100100011110110…
…1110011010000100
310011022102202222002
41020331232122010
510001334443140
6321245324432
742223010336
oct11075563204
93138382862
101224140420
11578aa48a8
122a1b66718
131667c7359
14b8815456
1572708415
hex48f6e684

1224140420 has 36 divisors (see below), whose sum is σ = 2730820260. Its totient is φ = 460850688.

The previous prime is 1224140399. The next prime is 1224140429. The reversal of 1224140420 is 240414221.

It can be written as a sum of positive squares in 6 ways, for example, as 301439044 + 922701376 = 17362^2 + 30376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1224140392 and 1224140401.

It is not an unprimeable number, because it can be changed into a prime (1224140429) 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, 100115 + ... + 111674.

Almost surely, 21224140420 is an apocalyptic number.

1224140420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224140420 is an abundant number, since it is smaller than the sum of its proper divisors (1506679840).

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

1224140420 is a wasteful number, since it uses less digits than its factorization.

1224140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211832 (or 211813 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1224140420 is about 34987.7181307956. The cubic root of 1224140420 is about 1069.7371526606.

Adding to 1224140420 its reverse (240414221), we get a palindrome (1464554641).

The spelling of 1224140420 in words is "one billion, two hundred twenty-four million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 211789 423578 847156 1058945 2117890 3600413 4235780 7200826 14401652 18002065 36004130 61207021 72008260 122414042 244828084 306035105 612070210 1224140420