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22166032 = 2474577
BaseRepresentation
bin101010010001…
…1101000010000
31112201011002011
41110203220100
521133303112
62111032304
7356260000
oct124435020
945634064
1022166032
111156a739
12750b694
1347912c5
142d30000
151e2caa7
hex1523a10

22166032 has 50 divisors (see below), whose sum is σ = 50188318. Its totient is φ = 9483264.

The previous prime is 22166029. The next prime is 22166033. The reversal of 22166032 is 23066122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 38416 = 4704^2 + 196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22165994 and 22166012.

It is not an unprimeable number, because it can be changed into a prime (22166033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38128 + ... + 38704.

Almost surely, 222166032 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 22166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25094159).

22166032 is an abundant number, since it is smaller than the sum of its proper divisors (28022286).

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

22166032 is an frugal number, since it uses more digits than its factorization.

22166032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22166032 is about 4708.0815625900. The cubic root of 22166032 is about 280.9070584164.

The spelling of 22166032 in words is "twenty-two million, one hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 577 686 784 1154 1372 2308 2401 2744 4039 4616 4802 5488 8078 9232 9604 16156 19208 28273 32312 38416 56546 64624 113092 197911 226184 395822 452368 791644 1385377 1583288 2770754 3166576 5541508 11083016 22166032