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2265063606 = 2321319673757
BaseRepresentation
bin1000011100000010…
…0010000010110110
312211212010011010200
42013000202002312
514114324013411
61012432101330
7110062502661
oct20700420266
95755104120
102265063606
11a626298a3
12532694846
132a1362330
14176b766d8
15d3cbee56
hex870220b6

2265063606 has 96 divisors (see below), whose sum is σ = 5578940640. Its totient is φ = 658409472.

The previous prime is 2265063583. The next prime is 2265063613. The reversal of 2265063606 is 6063605622.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2991780 + ... + 2992536.

It is an arithmetic number, because the mean of its divisors is an integer number (58113965).

Almost surely, 22265063606 is an apocalyptic number.

2265063606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265063606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789470320).

2265063606 is an abundant number, since it is smaller than the sum of its proper divisors (3313877034).

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

2265063606 is a wasteful number, since it uses less digits than its factorization.

2265063606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2265063606 is about 47592.6843748070. The cubic root of 2265063606 is about 1313.2884779588.

The spelling of 2265063606 in words is "two billion, two hundred sixty-five million, sixty-three thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 673 741 757 1346 1482 1514 2019 2223 2271 4038 4446 4542 6057 6813 8749 9841 12114 12787 13626 14383 17498 19682 25574 26247 28766 29523 38361 43149 52494 59046 76722 78741 86298 88569 115083 129447 157482 166231 177138 186979 230166 258894 332462 373958 498693 509461 560937 997386 1018922 1121874 1496079 1528383 1682811 2992158 3056766 3365622 4585149 6622993 9170298 9679759 13245986 19359518 19868979 29039277 39737958 58078554 59606937 87117831 119213874 125836867 174235662 251673734 377510601 755021202 1132531803 2265063606