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212211823170064 = 24372984292
BaseRepresentation
bin110000010000000101101010…
…010101100101001000010000
31000211101020210211101010010211
4300100011222111211020100
5210303334303212420224
62031200433221133504
762461540543504564
oct6020055225451020
91024336724333124
10212211823170064
116168758a912a83
121b9740a625a294
1391546485cb443
143a5916da316a4
1519801b33c5894
hexc1016a565210

212211823170064 has 45 divisors (see below), whose sum is σ = 422577480365607. Its totient is φ = 103237135385472.

The previous prime is 212211823169987. The next prime is 212211823170071. The reversal of 212211823170064 is 460071328112212.

The square root of 212211823170064 is 14567492.

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

It can be written as a sum of positive squares in 4 ways, for example, as 86355016707600 + 125856806462464 = 9292740^2 + 11218592^2 .

It is a super-3 number, since 3×2122118231700643 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212211823169999 and 212211823170026.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2155939602 + ... + 2156038030.

Almost surely, 2212211823170064 is an apocalyptic number.

212211823170064 is the 14567492-nd square number.

It is an amenable number.

212211823170064 is a deficient number, since it is larger than the sum of its proper divisors (210365657195543).

212211823170064 is an frugal number, since it uses more digits than its factorization.

212211823170064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196940 (or 98468 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 212211823170064 in words is "two hundred twelve trillion, two hundred eleven billion, eight hundred twenty-three million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 21904 98429 196858 393716 787432 1574864 3641873 7283746 14567492 29134984 58269968 134749301 269498602 538997204 1077994408 2155988816 9688268041 19376536082 38753072164 77506144328 155012288656 358465917517 716931835034 1433863670068 2867727340136 5735454680272 13263238948129 26526477896258 53052955792516 106105911585032 212211823170064