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23206032 = 2432295557
BaseRepresentation
bin101100010000…
…1100010010000
31121122222200200
41120201202100
521420043112
62145215200
7401151033
oct130414220
947588620
1023206032
1112110043
127931500
134a667a5
14312101a
152085cdc
hex1621890

23206032 has 60 divisors (see below), whose sum is σ = 67196220. Its totient is φ = 7467264.

The previous prime is 23206031. The next prime is 23206039. The reversal of 23206032 is 23060232.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 5363856 = 4224^2 + 2316^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23205996 and 23206014.

It is not an unprimeable number, because it can be changed into a prime (23206031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 6954.

It is an arithmetic number, because the mean of its divisors is an integer number (1119937).

Almost surely, 223206032 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 23206032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598110).

23206032 is an abundant number, since it is smaller than the sum of its proper divisors (43990188).

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

23206032 is a wasteful number, since it uses less digits than its factorization.

23206032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23206032 is about 4817.2639537397. The cubic root of 23206032 is about 285.2333453678.

Adding to 23206032 its reverse (23060232), we get a palindrome (46266264).

The spelling of 23206032 in words is "twenty-three million, two hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 5557 11114 16671 22228 33342 44456 50013 66684 88912 100026 133368 161153 200052 266736 322306 400104 483459 644612 800208 966918 1289224 1450377 1933836 2578448 2900754 3867672 5801508 7735344 11603016 23206032