Search a number
-
+
22001540 = 22511971031
BaseRepresentation
bin101001111101…
…1011110000100
31112101210102212
41103323132010
521113022130
62103322552
7355003301
oct123733604
945353385
1022001540
11114680a0
127450458
134734482
142cca0a8
151de8e95
hex14fb784

22001540 has 48 divisors (see below), whose sum is σ = 50972544. Its totient is φ = 7910400.

The previous prime is 22001533. The next prime is 22001597. The reversal of 22001540 is 4510022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20825 + ... + 21855.

It is an arithmetic number, because the mean of its divisors is an integer number (1061928).

Almost surely, 222001540 is an apocalyptic number.

22001540 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 22001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25486272).

22001540 is an abundant number, since it is smaller than the sum of its proper divisors (28971004).

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

22001540 is a wasteful number, since it uses less digits than its factorization.

22001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22001540 is about 4690.5799215022. The cubic root of 22001540 is about 280.2104710048.

Adding to 22001540 its reverse (4510022), we get a palindrome (26511562).

The spelling of 22001540 in words is "twenty-two million, one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1031 1067 1940 2062 2134 4124 4268 5155 5335 10310 10670 11341 20620 21340 22682 45364 56705 100007 113410 200014 226820 400028 500035 1000070 1100077 2000140 2200154 4400308 5500385 11000770 22001540