Search a number
-
+
22286500 = 225329253
BaseRepresentation
bin101010100000…
…1000010100100
31112221021022221
41111001002210
521201132000
62113402124
7360301135
oct125010244
945837287
1022286500
11116421a5
127569344
1348040a2
142d61c8c
151e5361a
hex15410a4

22286500 has 72 divisors (see below), whose sum is σ = 51361128. Its totient is φ = 8444800.

The previous prime is 22286497. The next prime is 22286503. The reversal of 22286500 is 568222.

It is an interprime number because it is at equal distance from previous prime (22286497) and next prime (22286503).

It can be written as a sum of positive squares in 12 ways, for example, as 12787776 + 9498724 = 3576^2 + 3082^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22286503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420474 + ... + 420526.

It is an arithmetic number, because the mean of its divisors is an integer number (713349).

Almost surely, 222286500 is an apocalyptic number.

22286500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680564).

22286500 is an abundant number, since it is smaller than the sum of its proper divisors (29074628).

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

22286500 is a wasteful number, since it uses less digits than its factorization.

22286500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 22286500 is about 4720.8579728689. The cubic root of 22286500 is about 281.4150307170.

The spelling of 22286500 in words is "twenty-two million, two hundred eighty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 125 145 212 250 265 290 500 530 580 725 841 1060 1325 1450 1537 1682 2650 2900 3074 3364 3625 4205 5300 6148 6625 7250 7685 8410 13250 14500 15370 16820 21025 26500 30740 38425 42050 44573 76850 84100 89146 105125 153700 178292 192125 210250 222865 384250 420500 445730 768500 891460 1114325 2228650 4457300 5571625 11143250 22286500