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210064116 = 223431572593
BaseRepresentation
bin11001000010101…
…01001011110100
3112122021100210110
430201111023310
5412234022431
632502223020
75130341553
oct1441251364
9478240713
10210064116
11a8637309
125a424a70
133469c0c2
141dc81d9a
1513696346
hexc8552f4

210064116 has 48 divisors (see below), whose sum is σ = 504937664. Its totient is φ = 67931136.

The previous prime is 210064111. The next prime is 210064181. The reversal of 210064116 is 611460012.

It is a super-2 number, since 2×2100641162 = 88253865661722912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210064092 and 210064101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210064111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79716 + ... + 82308.

Almost surely, 2210064116 is an apocalyptic number.

It is an amenable number.

210064116 is an abundant number, since it is smaller than the sum of its proper divisors (294873548).

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

210064116 is a wasteful number, since it uses less digits than its factorization.

210064116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 210064116 is about 14493.5887895304. The cubic root of 210064116 is about 594.4526812638.

The spelling of 210064116 in words is "two hundred ten million, sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 43 86 129 157 172 258 314 471 516 628 942 1884 2593 5186 6751 7779 10372 13502 15558 20253 27004 31116 40506 81012 111499 222998 334497 407101 445996 668994 814202 1221303 1337988 1628404 2442606 4885212 17505343 35010686 52516029 70021372 105032058 210064116