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202083012 = 223417191931
BaseRepresentation
bin11000000101110…
…00101011000100
3112002020212210000
430002320223010
5403213124022
632015201300
75002451205
oct1402705304
9462225700
10202083012
11a4085a5a
1257816230
1332b36461
141cba55ac
1512b1b6ac
hexc0b8ac4

202083012 has 120 divisors (see below), whose sum is σ = 589105440. Its totient is φ = 60030720.

The previous prime is 202082987. The next prime is 202083019. The reversal of 202083012 is 210380202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202083019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103687 + ... + 105617.

It is an arithmetic number, because the mean of its divisors is an integer number (4909212).

Almost surely, 2202083012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202083012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294552720).

202083012 is an abundant number, since it is smaller than the sum of its proper divisors (387022428).

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

202083012 is a wasteful number, since it uses less digits than its factorization.

202083012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 202083012 is about 14215.5904555527. The cubic root of 202083012 is about 586.8267944155.

It can be divided in two parts, 20208 and 3012, that added together give a triangular number (23220 = T215).

The spelling of 202083012 in words is "two hundred two million, eighty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1539 1836 1931 1938 2052 2754 2907 3078 3862 3876 5508 5793 5814 6156 7724 8721 11586 11628 17379 17442 23172 26163 32827 34758 34884 36689 52137 52326 65654 69516 73378 98481 104274 104652 110067 131308 146756 156411 196962 208548 220134 295443 312822 330201 393924 440268 590886 623713 625644 660402 886329 990603 1181772 1247426 1320804 1772658 1871139 1981206 2494852 2658987 2971809 3545316 3742278 3962412 5317974 5613417 5943618 7484556 10635948 11226834 11887236 16840251 22453668 33680502 50520753 67361004 101041506 202083012