Search a number
-
+
22651256347296 = 2535320812139307
BaseRepresentation
bin1010010011001111010000…
…00101101001101010100000
32222012102212000000122020020
411021213220011221222200
510432104233111103141
6120101502110513440
74525333151110563
oct511475005515240
988172760018206
1022651256347296
117243386766815
122659b6bb05880
13c84009607c95
145844804bc4da
152943279e2266
hex1499e8169aa0

22651256347296 has 96 divisors (see below), whose sum is σ = 60610566195648. Its totient is φ = 7404394782720.

The previous prime is 22651256347283. The next prime is 22651256347297. The reversal of 22651256347296 is 69274365215622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×226512563472962 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22651256347297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9518475 + ... + 11657781.

It is an arithmetic number, because the mean of its divisors is an integer number (631360064538).

Almost surely, 222651256347296 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 22651256347296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30305283097824).

22651256347296 is an abundant number, since it is smaller than the sum of its proper divisors (37959309848352).

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

22651256347296 is a wasteful number, since it uses less digits than its factorization.

22651256347296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141454 (or 2141446 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 60.

The spelling of 22651256347296 in words is "twenty-two trillion, six hundred fifty-one billion, two hundred fifty-six million, three hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2081 2544 4162 5088 6243 8324 12486 16648 24972 33296 49944 66592 99888 110293 199776 220586 330879 441172 661758 882344 1323516 1764688 2139307 2647032 3529376 4278614 5294064 6417921 8557228 10588128 12835842 17114456 25671684 34228912 51343368 68457824 102686736 113383271 205373472 226766542 340149813 453533084 680299626 907066168 1360599252 1814132336 2721198504 3628264672 4451897867 5442397008 8903795734 10884794016 13355693601 17807591468 26711387202 35615182936 53422774404 71230365872 106845548808 142460731744 213691097616 235950586951 427382195232 471901173902 707851760853 943802347804 1415703521706 1887604695608 2831407043412 3775209391216 5662814086824 7550418782432 11325628173648 22651256347296