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2223534144 = 263138310733
BaseRepresentation
bin1000010010001000…
…0111000001000000
312201221222020102110
42010202013001000
514023211043034
61004350015320
7106046504556
oct20442070100
95657866373
102223534144
11a41144127
125207a7540
132958815a0
14171445bd6
15d0319de9
hex84887040

2223534144 has 112 divisors (see below), whose sum is σ = 6412577472. Its totient is φ = 675858432.

The previous prime is 2223534143. The next prime is 2223534167. The reversal of 2223534144 is 4414353222.

It is not an unprimeable number, because it can be changed into a prime (2223534143) 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, 201802 + ... + 212534.

It is an arithmetic number, because the mean of its divisors is an integer number (57255156).

Almost surely, 22223534144 is an apocalyptic number.

2223534144 is a gapful number since it is divisible by the number (24) 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 2223534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206288736).

2223534144 is an abundant number, since it is smaller than the sum of its proper divisors (4189043328).

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

2223534144 is a wasteful number, since it uses less digits than its factorization.

2223534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10834 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 2223534144 is about 47154.3650577547. The cubic root of 2223534144 is about 1305.2126298767.

Adding to 2223534144 its reverse (4414353222), we get a palindrome (6637887366).

The spelling of 2223534144 in words is "two billion, two hundred twenty-three million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 208 249 312 332 416 498 624 664 832 996 1079 1248 1328 1992 2158 2496 2656 3237 3984 4316 5312 6474 7968 8632 10733 12948 15936 17264 21466 25896 32199 34528 42932 51792 64398 69056 85864 103584 128796 139529 171728 207168 257592 279058 343456 418587 515184 558116 686912 837174 890839 1030368 1116232 1674348 1781678 2060736 2232464 2672517 3348696 3563356 4464928 5345034 6697392 7126712 8929856 10690068 11580907 13394784 14253424 21380136 23161814 26789568 28506848 34742721 42760272 46323628 57013696 69485442 85520544 92647256 138970884 171041088 185294512 277941768 370589024 555883536 741178048 1111767072 2223534144