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22252115541 = 31729971091423
BaseRepresentation
bin10100101110010101…
…000101011001010101
32010102210021120222110
4110232111011121111
5331033020144131
614120020021233
71415266601265
oct245625053125
963383246873
1022252115541
119489814837
124390231819
132138155596
14111144b7a5
158a382e646
hex52e545655

22252115541 has 64 divisors (see below), whose sum is σ = 33157555200. Its totient is φ = 13209993216.

The previous prime is 22252115539. The next prime is 22252115569. The reversal of 22252115541 is 14551125222.

It is not a de Polignac number, because 22252115541 - 21 = 22252115539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22252115499 and 22252115508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252115521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15636756 + ... + 15638178.

It is an arithmetic number, because the mean of its divisors is an integer number (518086800).

Almost surely, 222252115541 is an apocalyptic number.

It is an amenable number.

22252115541 is a deficient number, since it is larger than the sum of its proper divisors (10905439659).

22252115541 is a wasteful number, since it uses less digits than its factorization.

22252115541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678.

The product of its digits is 8000, while the sum is 30.

The spelling of 22252115541 in words is "twenty-two billion, two hundred fifty-two million, one hundred fifteen thousand, five hundred forty-one".

Divisors: 1 3 17 29 51 87 97 109 291 327 493 1423 1479 1649 1853 2813 3161 4269 4947 5559 8439 9483 10573 24191 31719 41267 47821 53737 72573 123801 138031 143463 155107 161211 179741 306617 414093 465321 539223 701539 919851 2104617 2346527 2636819 4002899 4498103 5212489 7039581 7910457 12008697 13494309 15045379 15637467 45136137 68049283 76467751 204147849 229403253 255771443 436315991 767314329 1308947973 7417371847 22252115541