Search a number
-
+
22100000 = 25551317
BaseRepresentation
bin101010001001…
…1100000100000
31112120210111112
41110103200200
521124200000
62105402452
7355563326
oct124234040
945523445
1022100000
111152506a
127499428
13476a230
142d13d16
151e18235
hex1513820

22100000 has 144 divisors (see below), whose sum is σ = 62011656. Its totient is φ = 7680000.

The previous prime is 22099999. The next prime is 22100041. The reversal of 22100000 is 122.

It can be written as a sum of positive squares in 12 ways, for example, as 11262736 + 10837264 = 3356^2 + 3292^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299992 + ... + 1300008.

Almost surely, 222100000 is an apocalyptic number.

22100000 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 22100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005828).

22100000 is an abundant number, since it is smaller than the sum of its proper divisors (39911656).

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

22100000 is an equidigital number, since it uses as much as digits as its factorization.

22100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 22100000 is about 4701.0637094173. The cubic root of 22100000 is about 280.6278428390.

Adding to 22100000 its reverse (122), we get a palindrome (22100122).

The spelling of 22100000 in words is "twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 65 68 80 85 100 104 125 130 136 160 170 200 208 221 250 260 272 325 340 400 416 425 442 500 520 544 625 650 680 800 850 884 1000 1040 1105 1250 1300 1360 1625 1700 1768 2000 2080 2125 2210 2500 2600 2720 3125 3250 3400 3536 4000 4250 4420 5000 5200 5525 6250 6500 6800 7072 8125 8500 8840 10000 10400 10625 11050 12500 13000 13600 16250 17000 17680 20000 21250 22100 25000 26000 27625 32500 34000 35360 40625 42500 44200 50000 52000 53125 55250 65000 68000 81250 85000 88400 100000 106250 110500 130000 138125 162500 170000 176800 212500 221000 260000 276250 325000 340000 425000 442000 552500 650000 690625 850000 884000 1105000 1300000 1381250 1700000 2210000 2762500 4420000 5525000 11050000 22100000