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1141210224 = 2432711195417
BaseRepresentation
bin100010000000101…
…0111110001110000
32221112101111010100
41010001113301300
54314122211344
6305124032400
740165061340
oct10401276160
92845344110
101141210224
11536202150
1227a232700
1315257c32b
14ab7c8d20
156a2c6569
hex44057c70

1141210224 has 240 divisors, whose sum is σ = 4192231680. Its totient is φ = 280765440.

The previous prime is 1141210219. The next prime is 1141210229. The reversal of 1141210224 is 4220121411.

It is an interprime number because it is at equal distance from previous prime (1141210219) and next prime (1141210229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1141210197 and 1141210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141210229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207964 + ... + 213380.

It is an arithmetic number, because the mean of its divisors is an integer number (17467632).

Almost surely, 21141210224 is an apocalyptic number.

1141210224 is a gapful number since it is divisible by the number (14) 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 1141210224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096115840).

1141210224 is an abundant number, since it is smaller than the sum of its proper divisors (3051021456).

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

1141210224 is a wasteful number, since it uses less digits than its factorization.

1141210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1141210224 is about 33781.8031490328. The cubic root of 1141210224 is about 1045.0134607516.

Adding to 1141210224 its reverse (4220121411), we get a palindrome (5361331635).

The spelling of 1141210224 in words is "one billion, one hundred forty-one million, two hundred ten thousand, two hundred twenty-four".