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20221220096 = 287115917387
BaseRepresentation
bin10010110101010001…
…110101010100000000
31221012020210102011122
4102311101311110000
5312403113020341
613142310531412
71314046351310
oct226521652400
957166712148
1020221220096
118637395a50
123b04066b68
131ba34817bc
14d9b82d440
157d53b794b
hex4b5475500

20221220096 has 144 divisors (see below), whose sum is σ = 51179143680. Its totient is φ = 7744419840.

The previous prime is 20221220093. The next prime is 20221220143. The reversal of 20221220096 is 69002212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221220093) 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, 1154315 + ... + 1171701.

It is an arithmetic number, because the mean of its divisors is an integer number (355410720).

Almost surely, 220221220096 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 20221220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589571840).

20221220096 is an abundant number, since it is smaller than the sum of its proper divisors (30957923584).

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

20221220096 is a wasteful number, since it uses less digits than its factorization.

20221220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 20221220096 its reverse (69002212202), we get a palindrome (89223432298).

The spelling of 20221220096 in words is "twenty billion, two hundred twenty-one million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 128 154 176 224 236 256 308 352 413 448 472 616 649 704 826 896 944 1232 1298 1408 1652 1792 1888 2464 2596 2816 3304 3776 4543 4928 5192 6608 7552 9086 9856 10384 13216 15104 17387 18172 19712 20768 26432 34774 36344 41536 52864 69548 72688 83072 105728 121709 139096 145376 166144 191257 243418 278192 290752 382514 486836 556384 581504 765028 973672 1025833 1112768 1163008 1338799 1530056 1947344 2051666 2225536 2677598 3060112 3894688 4103332 4451072 5355196 6120224 7180831 7789376 8206664 10710392 11284163 12240448 14361662 15578752 16413328 21420784 22568326 24480896 28723324 31157504 32826656 42841568 45136652 48961792 57446648 65653312 78989141 85683136 90273304 114893296 131306624 157978282 171366272 180546608 229786592 262613248 315956564 342732544 361093216 459573184 631913128 722186432 919146368 1263826256 1444372864 1838292736 2527652512 2888745728 5055305024 10110610048 20221220096