Search a number
-
+
22688040 = 2335189067
BaseRepresentation
bin101011010001…
…1000100101000
31120200200010210
41112203010220
521302004130
62130141120
7363562614
oct126430450
946620123
1022688040
1111896951
1277217a0
134914a9b
143028344
151ed25b0
hex15a3128

22688040 has 32 divisors (see below), whose sum is σ = 68064480. Its totient is φ = 6050112.

The previous prime is 22688011. The next prime is 22688041. The reversal of 22688040 is 4088622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22687989 and 22688007.

It is not an unprimeable number, because it can be changed into a prime (22688041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94414 + ... + 94653.

It is an arithmetic number, because the mean of its divisors is an integer number (2127015).

Almost surely, 222688040 is an apocalyptic number.

22688040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22688040 is an abundant number, since it is smaller than the sum of its proper divisors (45376440).

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

22688040 is a wasteful number, since it uses less digits than its factorization.

22688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189081 (or 189077 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22688040 is about 4763.1964057763. The cubic root of 22688040 is about 283.0950830680.

The spelling of 22688040 in words is "twenty-two million, six hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 189067 378134 567201 756268 945335 1134402 1512536 1890670 2268804 2836005 3781340 4537608 5672010 7562680 11344020 22688040