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22000290 = 23513192969
BaseRepresentation
bin101001111101…
…1001010100010
31112101201201120
41103323022202
521113002130
62103313110
7354666534
oct123731242
945351646
1022000290
1111467164
12744b796
134733a30
142cc9854
151de8910
hex14fb2a2

22000290 has 64 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 5128704.

The previous prime is 22000289. The next prime is 22000291. The reversal of 22000290 is 9200022.

It is an interprime number because it is at equal distance from previous prime (22000289) and next prime (22000291).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22000291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5926 + ... + 8894.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 222000290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

22000290 is an abundant number, since it is smaller than the sum of its proper divisors (37874910).

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

22000290 is a wasteful number, since it uses less digits than its factorization.

22000290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 22000290 is about 4690.4466738254. The cubic root of 22000290 is about 280.2051642592.

The spelling of 22000290 in words is "twenty-two million, two hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 2969 3705 5938 7410 8907 14845 17814 29690 38597 44535 56411 77194 89070 112822 115791 169233 192985 231582 282055 338466 385970 564110 578955 733343 846165 1157910 1466686 1692330 2200029 3666715 4400058 7333430 11000145 22000290