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823114116 = 223311262987
BaseRepresentation
bin110001000011111…
…011100110000100
32010100211112022000
4301003323212010
53141204122431
6213402105300
726253232416
oct6103734604
92110745260
10823114116
11392698900
121ab7ab230
131016b6896
147b4649b6
154c3e09e6
hex310fb984

823114116 has 72 divisors (see below), whose sum is σ = 2345673120. Its totient is φ = 249424560.

The previous prime is 823114111. The next prime is 823114121. The reversal of 823114116 is 611411328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (823114111) and next prime (823114121).

It is a super-2 number, since 2×8231141162 = 1355033695916922912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 823114116.

It is not an unprimeable number, because it can be changed into a prime (823114111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18426 + ... + 44561.

Almost surely, 2823114116 is an apocalyptic number.

It is an amenable number.

823114116 is an abundant number, since it is smaller than the sum of its proper divisors (1522559004).

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

823114116 is a wasteful number, since it uses less digits than its factorization.

823114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63022 (or 63003 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 823114116 is about 28689.9654234717. The cubic root of 823114116 is about 937.1735362494.

The spelling of 823114116 in words is "eight hundred twenty-three million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 62987 125974 188961 251948 377922 566883 692857 755844 1133766 1385714 1700649 2078571 2267532 2771428 3401298 4157142 6235713 6802596 7621427 8314284 12471426 15242854 18707139 22864281 24942852 30485708 37414278 45728562 68592843 74828556 91457124 137185686 205778529 274371372 411557058 823114116