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21300220944 = 2433418314489
BaseRepresentation
bin10011110101100101…
…111001010000010000
32000222110010100002000
4103311211321100100
5322110324032234
613441333354000
71352560614342
oct236545712020
960873110060
1021300220944
119040468292
124165498900
132015b8c342
141060c63292
15849ea1899
hex4f5979410

21300220944 has 160 divisors (see below), whose sum is σ = 63389692800. Its totient is φ = 6842972160.

The previous prime is 21300220901. The next prime is 21300220951. The reversal of 21300220944 is 44902200312.

It is a super-2 number, since 2×213002209442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462852 + ... + 1477340.

It is an arithmetic number, because the mean of its divisors is an integer number (396185580).

Almost surely, 221300220944 is an apocalyptic number.

21300220944 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 21300220944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31694846400).

21300220944 is an abundant number, since it is smaller than the sum of its proper divisors (42089471856).

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

21300220944 is a wasteful number, since it uses less digits than its factorization.

21300220944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14630 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21300220944 in words is "twenty-one billion, three hundred million, two hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 83 108 123 144 164 166 216 246 249 328 332 369 432 492 498 656 664 738 747 984 996 1107 1328 1476 1494 1968 1992 2214 2241 2952 2988 3403 3984 4428 4482 5904 5976 6806 8856 8964 10209 11952 13612 14489 17712 17928 20418 27224 28978 30627 35856 40836 43467 54448 57956 61254 81672 86934 91881 115912 122508 130401 163344 173868 183762 231824 245016 260802 347736 367524 391203 490032 521604 594049 695472 735048 782406 1043208 1188098 1202587 1470096 1564812 1782147 2086416 2376196 2405174 3129624 3564294 3607761 4752392 4810348 5346441 6259248 7128588 7215522 9504784 9620696 10692882 10823283 14257176 14431044 16039323 19241392 21385764 21646566 28514352 28862088 32078646 32469849 42771528 43293132 49306067 57724176 64157292 64939698 85543056 86586264 98612134 128314584 129879396 147918201 173172528 197224268 256629168 259758792 295836402 394448536 443754603 519517584 591672804 788897072 887509206 1183345608 1331263809 1775018412 2366691216 2662527618 3550036824 5325055236 7100073648 10650110472 21300220944