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22050149472 = 25321317346439
BaseRepresentation
bin10100100010010010…
…101001010001100000
32002220201020122121200
4110202102221101200
5330124314240342
614044003121200
71410265115031
oct244222512140
962821218550
1022050149472
11939580972a
124334673200
132105360430
1410d26b6a88
15890c3794c
hex5224a9460

22050149472 has 144 divisors (see below), whose sum is σ = 71501058720. Its totient is φ = 6385545216.

The previous prime is 22050149467. The next prime is 22050149531. The reversal of 22050149472 is 27494105022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109572 + ... + 236867.

It is an arithmetic number, because the mean of its divisors is an integer number (496535130).

Almost surely, 222050149472 is an apocalyptic number.

It is an amenable number.

22050149472 is an abundant number, since it is smaller than the sum of its proper divisors (49450909248).

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

22050149472 is a wasteful number, since it uses less digits than its factorization.

22050149472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346485 (or 346474 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22050149472 in words is "twenty-two billion, fifty million, one hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 346439 692878 1039317 1385756 2078634 2771512 3117951 4157268 4503707 5543024 5889463 6235902 8314536 9007414 11086048 11778926 12471804 13511121 16629072 17668389 18014828 23557852 24943608 27022242 33258144 35336778 36029656 40533363 47115704 49887216 53005167 54044484 70673556 72059312 76563019 81066726 94231408 99774432 106010334 108088968 141347112 144118624 153126038 162133452 188462816 212020668 216177936 229689057 282694224 306252076 324266904 424041336 432355872 459378114 565388448 612504152 648533808 689067171 848082672 918756228 1225008304 1297067616 1378134342 1696165344 1837512456 2450016608 2756268684 3675024912 5512537368 7350049824 11025074736 22050149472