Search a number
-
+
22425936 = 2431383433
BaseRepresentation
bin101010110001…
…1000101010000
31120012100121020
41111203011100
521220112221
62120355440
7361421511
oct125430520
946170536
1022425936
1111727a35
127615b80
1348526b0
142d9aa08
151e7eac6
hex1563150

22425936 has 80 divisors (see below), whose sum is σ = 63287616. Its totient is φ = 6801408.

The previous prime is 22425917. The next prime is 22425937. The reversal of 22425936 is 63952422.

Its product of digits (25920) is a multiple of the sum of its prime factors (540).

It is a junction number, because it is equal to n+sod(n) for n = 22425897 and 22425906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22425937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51576 + ... + 52008.

Almost surely, 222425936 is an apocalyptic number.

22425936 is a gapful number since it is divisible by the number (26) 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 22425936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31643808).

22425936 is an abundant number, since it is smaller than the sum of its proper divisors (40861680).

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

22425936 is a wasteful number, since it uses less digits than its factorization.

22425936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 22425936 is about 4735.6030239031. The cubic root of 22425936 is about 282.0007041882. Note that the first 3 decimals are identical.

The spelling of 22425936 in words is "twenty-two million, four hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 433 498 624 664 866 996 1079 1299 1328 1732 1992 2158 2598 3237 3464 3984 4316 5196 5629 6474 6928 8632 10392 11258 12948 16887 17264 20784 22516 25896 33774 35939 45032 51792 67548 71878 90064 107817 135096 143756 215634 270192 287512 431268 467207 575024 862536 934414 1401621 1725072 1868828 2803242 3737656 5606484 7475312 11212968 22425936