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1230002224 = 2411172271811
BaseRepresentation
bin100100101010000…
…0101100000110000
310011201110120211221
41021110011200300
510004340032344
6322015114424
742323563213
oct11124054060
93151416757
101230002224
11581338970
122a3b12a14
13167a9a489
14b94dd77a
1572eb5184
hex49505830

1230002224 has 80 divisors (see below), whose sum is σ = 2766358656. Its totient is φ = 523596800.

The previous prime is 1230002219. The next prime is 1230002233. The reversal of 1230002224 is 4222000321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1230002198 and 1230002207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678279 + ... + 680089.

Almost surely, 21230002224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383179328).

1230002224 is an abundant number, since it is smaller than the sum of its proper divisors (1536356432).

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

1230002224 is a wasteful number, since it uses less digits than its factorization.

1230002224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1230002224 is about 35071.3875402728. The cubic root of 1230002224 is about 1071.4419154588.

Adding to 1230002224 its reverse (4222000321), we get a palindrome (5452002545).

The spelling of 1230002224 in words is "one billion, two hundred thirty million, two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 227 272 374 454 748 908 1496 1811 1816 2497 2992 3622 3632 3859 4994 7244 7718 9988 14488 15436 19921 19976 28976 30787 30872 39842 39952 42449 61574 61744 79684 84898 123148 159368 169796 246296 318736 338657 339592 411097 492592 677314 679184 822194 1354628 1644388 2709256 3288776 4522067 5418512 6577552 6988649 9044134 13977298 18088268 27954596 36176536 55909192 72353072 76875139 111818384 153750278 307500556 615001112 1230002224