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2223032 = 237253107
BaseRepresentation
bin1000011110101110111000
311011221102112
420132232320
51032114112
6115351452
724616100
oct10365670
94157375
102223032
111289219
128b2588
135cab06
1441c200
152dda22
hex21ebb8

2223032 has 48 divisors (see below), whose sum is σ = 4986360. Its totient is φ = 926016.

The previous prime is 2223031. The next prime is 2223037. The reversal of 2223032 is 2303222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2222998 and 2223016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223031) 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, 20723 + ... + 20829.

22223032 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 2223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493180).

2223032 is an abundant number, since it is smaller than the sum of its proper divisors (2763328).

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

2223032 is a wasteful number, since it uses less digits than its factorization.

2223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2223032 is about 1490.9835679846. The cubic root of 2223032 is about 130.5114369781.

Adding to 2223032 its reverse (2303222), we get a palindrome (4526254).

The spelling of 2223032 in words is "two million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 107 196 212 214 371 392 424 428 742 749 856 1484 1498 2597 2968 2996 5194 5243 5671 5992 10388 10486 11342 20776 20972 22684 39697 41944 45368 79394 158788 277879 317576 555758 1111516 2223032