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530325220224 = 27319229317411
BaseRepresentation
bin1111011011110011101…
…10001010101110000000
31212200212021110111220010
413231321312022232000
532142101224021344
61043343353544520
753212644665202
oct7557166125600
91780767414803
10530325220224
11194a00841278
1286944a15140
133b017a01177
141b94c928772
15dbdd09d8b9
hex7b79d8ab80

530325220224 has 128 divisors (see below), whose sum is σ = 1489297104000. Its totient is φ = 166739281920.

The previous prime is 530325220219. The next prime is 530325220259. The reversal of 530325220224 is 422022523035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5303252202242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 530325220191 and 530325220200.

It is a congruent number.

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, 1512079 + ... + 1829489.

It is an arithmetic number, because the mean of its divisors is an integer number (11635133625).

Almost surely, 2530325220224 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 530325220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744648552000).

530325220224 is an abundant number, since it is smaller than the sum of its proper divisors (958971883776).

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

530325220224 is a wasteful number, since it uses less digits than its factorization.

530325220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317676 (or 317664 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 530325220224 its reverse (422022523035), we get a palindrome (952347743259).

The spelling of 530325220224 in words is "five hundred thirty billion, three hundred twenty-five million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 229 304 384 456 458 608 687 912 916 1216 1374 1824 1832 2432 2748 3648 3664 4351 5496 7296 7328 8702 10992 13053 14656 17404 21984 26106 29312 34808 43968 52212 69616 87936 104424 139232 208848 278464 317411 417696 556928 634822 835392 952233 1269644 1670784 1904466 2539288 3808932 5078576 6030809 7617864 10157152 12061618 15235728 18092427 20314304 24123236 30471456 36184854 40628608 48246472 60942912 72369708 72687119 96492944 121885824 144739416 145374238 192985888 218061357 289478832 290748476 385971776 436122714 578957664 581496952 771943552 872245428 1157915328 1162993904 1381055261 1744490856 2315830656 2325987808 2762110522 3488981712 4143165783 4651975616 5524221044 6977963424 8286331566 9303951232 11048442088 13955926848 16572663132 22096884176 27911853696 33145326264 44193768352 66290652528 88387536704 132581305056 176775073408 265162610112 530325220224