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22101320 = 235673821
BaseRepresentation
bin101010001001…
…1110101001000
31112120212022102
41110103311020
521124220240
62105412532
7355600223
oct124236510
945525272
1022101320
111152605a
12749a148
13476aa07
142d145ba
151e18815
hex1513d48

22101320 has 32 divisors (see below), whose sum is σ = 49862520. Its totient is φ = 8816640.

The previous prime is 22101311. The next prime is 22101329. The reversal of 22101320 is 2310122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22101311) and next prime (22101329).

It can be written as a sum of positive squares in 4 ways, for example, as 13586596 + 8514724 = 3686^2 + 2918^2 .

It is not an unprimeable number, because it can be changed into a prime (22101329) 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 7 ways as a sum of consecutive naturals, for example, 26510 + ... + 27330.

Almost surely, 222101320 is an apocalyptic number.

22101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101320 is an abundant number, since it is smaller than the sum of its proper divisors (27761200).

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

22101320 is a wasteful number, since it uses less digits than its factorization.

22101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22101320 is about 4701.2041010788. The cubic root of 22101320 is about 280.6334298885.

Adding to 22101320 its reverse (2310122), we get a palindrome (24411442).

The spelling of 22101320 in words is "twenty-two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 673 821 1346 1642 2692 3284 3365 4105 5384 6568 6730 8210 13460 16420 26920 32840 552533 1105066 2210132 2762665 4420264 5525330 11050660 22101320