Search a number
-
+
22141660336253 = 9711311091821497
BaseRepresentation
bin1010000100011010000011…
…10011001001000001111101
32220101201111101020001112022
411002031001303021001331
510400232110021230003
6115031423251445525
74443452661353513
oct502150163110175
986351441201468
1022141660336253
117067253034187
1225972512b68a5
13c47c463a9b83
1456793aa584b3
15285e4e701738
hex142341cc907d

22141660336253 has 16 divisors (see below), whose sum is σ = 22588250978160. Its totient is φ = 21699875291136.

The previous prime is 22141660336241. The next prime is 22141660336291. The reversal of 22141660336253 is 35263306614122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12587892435364 + 9553767900889 = 3547942^2 + 3090917^2 .

It is a cyclic number.

It is not a de Polignac number, because 22141660336253 - 242 = 17743613825149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141660366253) 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, 11245001 + ... + 13066497.

It is an arithmetic number, because the mean of its divisors is an integer number (1411765686135).

Almost surely, 222141660336253 is an apocalyptic number.

It is an amenable number.

22141660336253 is a deficient number, since it is larger than the sum of its proper divisors (446590641907).

22141660336253 is a wasteful number, since it uses less digits than its factorization.

22141660336253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822816.

The product of its (nonzero) digits is 933120, while the sum is 44.

The spelling of 22141660336253 in words is "twenty-two trillion, one hundred forty-one billion, six hundred sixty million, three hundred thirty-six thousand, two hundred fifty-three".

Divisors: 1 97 113 1109 10961 107573 125317 1821497 12155749 176685209 205829161 2020040173 19965428617 195943896781 228264539549 22141660336253