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22180521344 = 2761107139191
BaseRepresentation
bin10100101010000011…
…111110010110000000
32010020210120020012112
4110222003332112000
5330411203140334
614104541314452
71413440214662
oct245203762600
963223506175
1022180521344
119452364a83
124370265a28
132126379257
141105b32532
1589c3db4ce
hex52a0fe580

22180521344 has 128 divisors (see below), whose sum is σ = 45897062400. Its totient is φ = 10672588800.

The previous prime is 22180521317. The next prime is 22180521373. The reversal of 22180521344 is 44312508122.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22180521344.

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, 116128289 + ... + 116128479.

It is an arithmetic number, because the mean of its divisors is an integer number (358570800).

Almost surely, 222180521344 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 22180521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22948531200).

22180521344 is an abundant number, since it is smaller than the sum of its proper divisors (23716541056).

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

22180521344 is a wasteful number, since it uses less digits than its factorization.

22180521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 22180521344 in words is "twenty-two billion, one hundred eighty million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 107 122 128 139 191 214 244 278 382 428 488 556 764 856 976 1112 1528 1712 1952 2224 3056 3424 3904 4448 6112 6527 6848 7808 8479 8896 11651 12224 13054 13696 14873 16958 17792 20437 23302 24448 26108 26549 29746 33916 40874 46604 52216 53098 59492 67832 81748 93208 104432 106196 118984 135664 163496 186416 208864 212392 237968 271328 326992 372832 417728 424784 475936 542656 653984 745664 835456 849568 907253 951872 1085312 1246657 1307968 1491328 1619489 1699136 1814506 1903744 2493314 2615936 2840743 3238978 3398272 3629012 4986628 5681486 6477956 7258024 9973256 11362972 12955912 14516048 19946512 22725944 25911824 29032096 39893024 45451888 51823648 58064192 79786048 90903776 103647296 116128384 159572096 173285323 181807552 207294592 346570646 363615104 693141292 1386282584 2772565168 5545130336 11090260672 22180521344