[go: up one dir, main page]

Search a number
-
+
22053460 = 22511213701
BaseRepresentation
bin101010000100…
…0001001010100
31112111102122211
41110020021110
521121202320
62104403204
7355310542
oct124101124
945442584
1022053460
11114a3100
127476504
134751cb0
142d00d92
151e0955a
hex1508254

22053460 has 72 divisors (see below), whose sum is σ = 54899208. Its totient is φ = 7392000.

The previous prime is 22053439. The next prime is 22053463. The reversal of 22053460 is 6435022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 19749136 = 1518^2 + 4444^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22053463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31110 + ... + 31810.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 222053460 is an apocalyptic number.

22053460 is a gapful number since it is divisible by the number (20) 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 22053460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449604).

22053460 is an abundant number, since it is smaller than the sum of its proper divisors (32845748).

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

22053460 is a wasteful number, since it uses less digits than its factorization.

22053460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 22053460 is about 4696.1111571171. Note that the first 4 decimals coincide. The cubic root of 22053460 is about 280.4307146573.

Adding to 22053460 its reverse (6435022), we get a palindrome (28488482).

It can be divided in two parts, 2205 and 3460, that added together give a palindrome (5665).

The spelling of 22053460 in words is "twenty-two million, fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 701 715 1210 1402 1430 1573 2420 2804 2860 3146 3505 6292 7010 7711 7865 9113 14020 15422 15730 18226 30844 31460 36452 38555 45565 77110 84821 91130 100243 154220 169642 182260 200486 339284 400972 424105 501215 848210 1002430 1102673 1696420 2004860 2205346 4410692 5513365 11026730 22053460