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1224144020 = 2251126321157
BaseRepresentation
bin100100011110110…
…1111010010010100
310011022102221220102
41020331233102110
510001340102040
6321245353232
742223024001
oct11075572224
93138387812
101224144020
11578aa7580
122a1b68818
131667c8b98
14b88168a8
1572709515
hex48f6f494

1224144020 has 48 divisors (see below), whose sum is σ = 2815198848. Its totient is φ = 443429760.

The previous prime is 1224144017. The next prime is 1224144023. The reversal of 1224144020 is 204414221.

It is an interprime number because it is at equal distance from previous prime (1224144017) and next prime (1224144023).

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 = 1224143983 and 1224144001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224144023) 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, 47282 + ... + 68438.

It is an arithmetic number, because the mean of its divisors is an integer number (58649976).

Almost surely, 21224144020 is an apocalyptic number.

1224144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407599424).

1224144020 is an abundant number, since it is smaller than the sum of its proper divisors (1591054828).

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

1224144020 is a wasteful number, since it uses less digits than its factorization.

1224144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21440 (or 21438 counting only the distinct ones).

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

The square root of 1224144020 is about 34987.7695773823. The cubic root of 1224144020 is about 1069.7382013012.

Adding to 1224144020 its reverse (204414221), we get a palindrome (1428558241).

The spelling of 1224144020 in words is "one billion, two hundred twenty-four million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 5260 5786 11572 14465 21157 28930 42314 57860 84628 105785 211570 232727 423140 465454 930908 1163635 2327270 4654540 5564291 11128582 22257164 27821455 55642910 61207201 111285820 122414402 244828804 306036005 612072010 1224144020