Search a number
-
+
2022258 = 23789541
BaseRepresentation
bin111101101101101110010
310210202000110
413231231302
51004203013
6111202150
723121540
oct7555562
93722013
102022258
111161397
12816356
1355a604
143a8d90
1529e2c3
hex1edb72

2022258 has 32 divisors (see below), whose sum is σ = 4682880. Its totient is φ = 570240.

The previous prime is 2022253. The next prime is 2022263. The reversal of 2022258 is 8522202.

It is an interprime number because it is at equal distance from previous prime (2022253) and next prime (2022263).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2022253) 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, 3468 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (146340).

22022258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341440).

2022258 is an abundant number, since it is smaller than the sum of its proper divisors (2660622).

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

2022258 is a wasteful number, since it uses less digits than its factorization.

2022258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2022258 is about 1422.0611801185. The cubic root of 2022258 is about 126.4577704865.

The spelling of 2022258 in words is "two million, twenty-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 534 541 623 1082 1246 1623 1869 3246 3738 3787 7574 11361 22722 48149 96298 144447 288894 337043 674086 1011129 2022258