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1124222420 = 22556211121
BaseRepresentation
bin100001100000010…
…0100010111010100
32220100102102020102
41003000210113110
54300300104140
6303315553232
736600506246
oct10300442724
92810372212
101124222420
11527659a42
122745bb818
1314bbb1c89
14a9446096
1568a6ce15
hex430245d4

1124222420 has 12 divisors (see below), whose sum is σ = 2360867124. Its totient is φ = 449688960.

The previous prime is 1124222399. The next prime is 1124222447. The reversal of 1124222420 is 242224211.

It can be written as a sum of positive squares in 2 ways, for example, as 322992784 + 801229636 = 17972^2 + 28306^2 .

It is a super-3 number, since 3×11242224203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 56211121 = 1124222420 / (1 + 1 + 2 + 4 + 2 + 2 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1124222392 and 1124222401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28105541 + ... + 28105580.

It is an arithmetic number, because the mean of its divisors is an integer number (196738927).

Almost surely, 21124222420 is an apocalyptic number.

1124222420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124222420 is an abundant number, since it is smaller than the sum of its proper divisors (1236644704).

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

1124222420 is a wasteful number, since it uses less digits than its factorization.

1124222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56211130 (or 56211128 counting only the distinct ones).

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

The square root of 1124222420 is about 33529.4261805955. The cubic root of 1124222420 is about 1039.8022368046.

Adding to 1124222420 its reverse (242224211), we get a palindrome (1366446631).

It can be divided in two parts, 1 and 124222420, that added together give a palindrome (124222421).

The spelling of 1124222420 in words is "one billion, one hundred twenty-four million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 56211121 112422242 224844484 281055605 562111210 1124222420