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165223032 = 233131573373
BaseRepresentation
bin10011101100100…
…01101001111000
3102111220012101120
421312101221320
5314244114112
624221145240
74044241542
oct1166215170
9374805346
10165223032
118529a567
12473bb220
13282cbc10
1417d2c692
15e789e8c
hex9d91a78

165223032 has 64 divisors (see below), whose sum is σ = 447797280. Its totient is φ = 50499072.

The previous prime is 165223027. The next prime is 165223039. The reversal of 165223032 is 230322561.

165223032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 165222993 and 165223011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165223039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47298 + ... + 50670.

Almost surely, 2165223032 is an apocalyptic number.

165223032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223898640).

165223032 is an abundant number, since it is smaller than the sum of its proper divisors (282574248).

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

165223032 is a wasteful number, since it uses less digits than its factorization.

165223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 165223032 is about 12853.9111557533. The cubic root of 165223032 is about 548.7276727407.

Adding to 165223032 its reverse (230322561), we get a palindrome (395545593).

The spelling of 165223032 in words is "one hundred sixty-five million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 312 314 471 628 942 1256 1884 2041 3373 3768 4082 6123 6746 8164 10119 12246 13492 16328 20238 24492 26984 40476 43849 48984 80952 87698 131547 175396 263094 350792 526188 529561 1052376 1059122 1588683 2118244 3177366 4236488 6354732 6884293 12709464 13768586 20652879 27537172 41305758 55074344 82611516 165223032