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1223314224 = 243114353881
BaseRepresentation
bin100100011101010…
…0100101100110000
310011020212210122020
41020322210230300
510001132023344
6321215511440
742212666526
oct11072445460
93136783566
101223314224
115785900a0
122a1828580
13166598292
14b867c316
15725e3719
hex48ea4b30

1223314224 has 80 divisors (see below), whose sum is σ = 3527762304. Its totient is φ = 362073600.

The previous prime is 1223314199. The next prime is 1223314231. The reversal of 1223314224 is 4224133221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1223314194 and 1223314203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237 + ... + 49644.

Almost surely, 21223314224 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 1223314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763881152).

1223314224 is an abundant number, since it is smaller than the sum of its proper divisors (2304448080).

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

1223314224 is a wasteful number, since it uses less digits than its factorization.

1223314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53946 (or 53940 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1223314224 is about 34975.9091947586. The cubic root of 1223314224 is about 1069.4964364130.

Adding to 1223314224 its reverse (4224133221), we get a palindrome (5447447445).

The spelling of 1223314224 in words is "one billion, two hundred twenty-three million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 53881 107762 161643 215524 323286 431048 592691 646572 862096 1185382 1293144 1778073 2316883 2370764 2586288 3556146 4633766 4741528 6950649 7112292 9267532 9483056 13901298 14224584 18535064 25485713 27802596 28449168 37070128 50971426 55605192 76457139 101942852 111210384 152914278 203885704 305828556 407771408 611657112 1223314224