Search a number
-
+
22032320 = 265312221
BaseRepresentation
bin101010000001…
…0111111000000
31112110100122212
41110002333000
521120013240
62104121252
7355162112
oct124027700
945410585
1022032320
1111489232
127466228
13474549b
142cd73b2
151e03165
hex1502fc0

22032320 has 56 divisors (see below), whose sum is σ = 54181248. Its totient is φ = 8524800.

The previous prime is 22032313. The next prime is 22032337. The reversal of 22032320 is 2323022.

It is a junction number, because it is equal to n+sod(n) for n = 22032295 and 22032304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8810 + ... + 11030.

Almost surely, 222032320 is an apocalyptic number.

22032320 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 22032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27090624).

22032320 is an abundant number, since it is smaller than the sum of its proper divisors (32148928).

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

22032320 is a wasteful number, since it uses less digits than its factorization.

22032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 22032320 is about 4693.8598189550. The cubic root of 22032320 is about 280.3410809435.

Adding to 22032320 its reverse (2323022), we get a palindrome (24355342).

The spelling of 22032320 in words is "twenty-two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2221 2480 4442 4960 8884 9920 11105 17768 22210 35536 44420 68851 71072 88840 137702 142144 177680 275404 344255 355360 550808 688510 710720 1101616 1377020 2203232 2754040 4406464 5508080 11016160 22032320