Search a number
-
+
22072932 = 2233724397
BaseRepresentation
bin101010000110…
…0111001100100
31112112102101000
41110030321210
521122313212
62105033300
7355421400
oct124147144
945472330
1022072932
11115067a2
127485830
13475ab0b
142d08100
151e101dc
hex150ce64

22072932 has 144 divisors (see below), whose sum is σ = 68819520. Its totient is φ = 6096384.

The previous prime is 22072931. The next prime is 22072933. The reversal of 22072932 is 23927022.

It is an interprime number because it is at equal distance from previous prime (22072931) and next prime (22072933).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22072896 and 22072905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22072931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227508 + ... + 227604.

Almost surely, 222072932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22072932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34409760).

22072932 is an abundant number, since it is smaller than the sum of its proper divisors (46746588).

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

22072932 is a wasteful number, since it uses less digits than its factorization.

22072932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22072932 is about 4698.1839044465. The cubic root of 22072932 is about 280.5132253766.

Adding to 22072932 its reverse (23927022), we get a palindrome (45999954).

The spelling of 22072932 in words is "twenty-two million, seventy-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 84 86 97 98 108 126 129 147 172 189 194 196 252 258 291 294 301 378 387 388 441 516 582 588 602 679 756 774 873 882 903 1161 1164 1204 1323 1358 1548 1746 1764 1806 2037 2107 2322 2619 2646 2709 2716 3492 3612 4074 4171 4214 4644 4753 5238 5292 5418 6111 6321 8127 8148 8342 8428 9506 10476 10836 12222 12513 12642 14259 16254 16684 18333 18963 19012 24444 25026 25284 28518 29197 32508 36666 37539 37926 42777 50052 56889 57036 58394 73332 75078 75852 85554 87591 112617 113778 116788 128331 150156 171108 175182 204379 225234 227556 256662 262773 350364 408758 450468 513324 525546 613137 788319 817516 1051092 1226274 1576638 1839411 2452548 3153276 3678822 5518233 7357644 11036466 22072932