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212223023120 = 2452991475441
BaseRepresentation
bin1100010110100101111…
…0100101100000010000
3202021210012001121001102
43011221132211200100
511434113043214440
6241254403523532
721222040634633
oct3055136454020
9667705047042
10212223023120
11820044003a9
12351690895a8
131702173c434
14a3b3595c1a
1557c159ab15
hex31697a5810

212223023120 has 40 divisors (see below), whose sum is σ = 510432966360. Its totient is φ = 81961994240.

The previous prime is 212223023107. The next prime is 212223023141. The reversal of 212223023120 is 21320322212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18932659216 + 193290363904 = 137596^2 + 439648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2122230231202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212223023092 and 212223023101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45735401 + ... + 45740040.

It is an arithmetic number, because the mean of its divisors is an integer number (12760824159).

Almost surely, 2212223023120 is an apocalyptic number.

212223023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212223023120 is an abundant number, since it is smaller than the sum of its proper divisors (298209943240).

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

212223023120 is a wasteful number, since it uses less digits than its factorization.

212223023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91475483 (or 91475477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212223023120 its reverse (21320322212), we get a palindrome (233543345332).

The spelling of 212223023120 in words is "two hundred twelve billion, two hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 91475441 182950882 365901764 457377205 731803528 914754410 1463607056 1829508820 2652787789 3659017640 5305575578 7318035280 10611151156 13263938945 21222302312 26527877890 42444604624 53055755780 106111511560 212223023120