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22532081759209 = 112227219012
BaseRepresentation
bin1010001111110001010001…
…01110101011001111101001
32221210001020112000022000101
411013320220232223033221
510423131200412243314
6115531032341505401
74513613663611111
oct507705056531751
987701215008011
1022532081759209
1171a7890819900
12263aa50712261
13c759c6430339
1457c7b6a38041
152911a0233174
hex147e28bab3e9

22532081759209 has 27 divisors (see below), whose sum is σ = 24889346042743. Its totient is φ = 20382746318000.

The previous prime is 22532081759191. The next prime is 22532081759261. The reversal of 22532081759209 is 90295718023522.

The square root of 22532081759209 is 4746797.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1879237947609 + 20652843811600 = 1370853^2 + 4544540^2 .

It is not a de Polignac number, because 22532081759209 - 219 = 22532081234921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22532081759209.

It is not an unprimeable number, because it can be changed into a prime (22532081759809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11852751159 + ... + 11852753059.

Almost surely, 222532081759209 is an apocalyptic number.

22532081759209 is the 4746797-th square number.

22532081759209 is the 2373399-th centered octagonal number.

It is an amenable number.

22532081759209 is a deficient number, since it is larger than the sum of its proper divisors (2357264283534).

22532081759209 is an frugal number, since it uses more digits than its factorization.

22532081759209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 22532081759209 in words is "twenty-two trillion, five hundred thirty-two billion, eighty-one million, seven hundred fifty-nine thousand, two hundred nine".

Divisors: 1 11 121 227 1901 2497 20911 27467 51529 230021 431527 566819 3613801 4746797 6235009 39751811 52214767 97956629 437269921 820332827 1077522919 9023661097 11852752109 99260272067 186215551729 2048371069019 22532081759209