Search a number
-
+
22770006 = 2372411889
BaseRepresentation
bin101011011011…
…1000101010110
31120211211120120
41112313011112
521312120011
62132012410
7364353600
oct126670526
946754516
1022770006
1111942496
127761106
13494319c
14304a170
151eeba06
hex15b7156

22770006 has 48 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 6343680.

The previous prime is 22769951. The next prime is 22770049. The reversal of 22770006 is 60007722.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11110 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 222770006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22770006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).

22770006 is an abundant number, since it is smaller than the sum of its proper divisors (31525914).

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

22770006 is a wasteful number, since it uses less digits than its factorization.

22770006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 22770006 is about 4771.7927448706. The cubic root of 22770006 is about 283.4355896959.

Adding to 22770006 its reverse (60007722), we get a palindrome (82777728).

The spelling of 22770006 in words is "twenty-two million, seven hundred seventy thousand, six".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 1889 2009 3778 4018 5667 6027 11334 12054 13223 26446 39669 77449 79338 92561 154898 185122 232347 277683 464694 542143 555366 1084286 1626429 3252858 3795001 7590002 11385003 22770006