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22055544544 = 2511616715331
BaseRepresentation
bin10100100010100111…
…001110011011100000
32002221002101202021011
4110202213032123200
5330132204411134
614044314510304
71410362015065
oct244247163340
962832352234
1022055544544
119398864070
124336435394
1321064cbc97
1410d32bcc6c
15891451264
hex5229ce6e0

22055544544 has 96 divisors (see below), whose sum is σ = 48867622272. Its totient is φ = 9713088000.

The previous prime is 22055544529. The next prime is 22055544547. The reversal of 22055544544 is 44544555022.

It is a junction number, because it is equal to n+sod(n) for n = 22055544497 and 22055544506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055544547) 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, 1430959 + ... + 1446289.

It is an arithmetic number, because the mean of its divisors is an integer number (509037732).

Almost surely, 222055544544 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 22055544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24433811136).

22055544544 is an abundant number, since it is smaller than the sum of its proper divisors (26812077728).

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

22055544544 is a wasteful number, since it uses less digits than its factorization.

22055544544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15472 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 22055544544 in words is "twenty-two billion, fifty-five million, five hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 67 88 122 134 176 244 268 352 488 536 671 737 976 1072 1342 1474 1952 2144 2684 2948 4087 5368 5896 8174 10736 11792 15331 16348 21472 23584 30662 32696 44957 61324 65392 89914 122648 130784 168641 179828 245296 337282 359656 490592 674564 719312 935191 1027177 1349128 1438624 1870382 2054354 2698256 3740764 4108708 5396512 7481528 8217416 10287101 11298947 14963056 16434832 20574202 22597894 29926112 32869664 41148404 45195788 62657797 82296808 90391576 125315594 164593616 180783152 250631188 329187232 361566304 501262376 689235767 1002524752 1378471534 2005049504 2756943068 5513886136 11027772272 22055544544