Search a number
-
+
22388220 = 22325612039
BaseRepresentation
bin101010101100…
…1110111111100
31120010102212100
41111121313330
521212410340
62115505100
7361203531
oct125316774
946112770
1022388220
1111701668
1275b8190
13483b48a
142d8ad88
151e73830
hex1559dfc

22388220 has 72 divisors (see below), whose sum is σ = 69058080. Its totient is φ = 5869440.

The previous prime is 22388189. The next prime is 22388221. The reversal of 22388220 is 2288322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22388221) 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, 9961 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 222388220 is an apocalyptic number.

22388220 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 22388220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34529040).

22388220 is an abundant number, since it is smaller than the sum of its proper divisors (46669860).

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

22388220 is a wasteful number, since it uses less digits than its factorization.

22388220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22388220 is about 4731.6191731795. The cubic root of 22388220 is about 281.8425256302.

The spelling of 22388220 in words is "twenty-two million, three hundred eighty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2039 2196 2745 3660 4078 5490 6117 8156 10195 10980 12234 18351 20390 24468 30585 36702 40780 61170 73404 91755 122340 124379 183510 248758 367020 373137 497516 621895 746274 1119411 1243790 1492548 1865685 2238822 2487580 3731370 4477644 5597055 7462740 11194110 22388220