Search a number
-
+
22795020 = 2234514071
BaseRepresentation
bin101011011110…
…1001100001100
31120220002220000
41112331030030
521313420040
62132324300
7364516533
oct126751414
946802800
1022795020
111195a266
127773690
1349516a1
14305531a
152004130
hex15bd30c

22795020 has 60 divisors (see below), whose sum is σ = 71513904. Its totient is φ = 6078240.

The previous prime is 22795007. The next prime is 22795021. The reversal of 22795020 is 2059722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×227950202 = 1039225873600800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22795021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5416 + ... + 8655.

Almost surely, 222795020 is an apocalyptic number.

22795020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22795020 is an abundant number, since it is smaller than the sum of its proper divisors (48718884).

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

22795020 is a wasteful number, since it uses less digits than its factorization.

22795020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22795020 is about 4774.4130529312. The cubic root of 22795020 is about 283.5393411432.

The spelling of 22795020 in words is "twenty-two million, seven hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 14071 28142 42213 56284 70355 84426 126639 140710 168852 211065 253278 281420 379917 422130 506556 633195 759834 844260 1139751 1266390 1519668 1899585 2279502 2532780 3799170 4559004 5698755 7598340 11397510 22795020