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4228590 = 235472999
BaseRepresentation
bin10000001000010111101110
321221211112110
4100020113232
52040303330
6230344450
750641152
oct20102756
97854473
104228590
112429003
1214bb126
13b50932
147c1062
15587db0
hex4085ee

4228590 has 32 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1103264.

The previous prime is 4228561. The next prime is 4228591. The reversal of 4228590 is 958224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228591) 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, 90 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 24228590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4228590 is an abundant number, since it is smaller than the sum of its proper divisors (6139410).

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

4228590 is a wasteful number, since it uses less digits than its factorization.

4228590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4228590 is about 2056.3535688203. The cubic root of 4228590 is about 161.7081316863.

The spelling of 4228590 in words is "four million, two hundred twenty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2999 5998 8997 14995 17994 29990 44985 89970 140953 281906 422859 704765 845718 1409530 2114295 4228590