Search a number
-
+
20221440 = 29352633
BaseRepresentation
bin100110100100…
…0111000000000
31102001100121020
41031020320000
520134041230
62001225440
7333610431
oct115107000
942040536
1020221440
1110461738
126932280
134260165
142985488
151b96810
hex1348e00

20221440 has 80 divisors (see below), whose sum is σ = 64669968. Its totient is φ = 5390336.

The previous prime is 20221433. The next prime is 20221441. The reversal of 20221440 is 4412202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6364 + ... + 8996.

Almost surely, 220221440 is an apocalyptic number.

20221440 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 20221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32334984).

20221440 is an abundant number, since it is smaller than the sum of its proper divisors (44448528).

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

20221440 is an equidigital number, since it uses as much as digits as its factorization.

20221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20221440 is about 4496.8255469831. The cubic root of 20221440 is about 272.4398879835.

Adding to 20221440 its reverse (4412202), we get a palindrome (24633642).

The spelling of 20221440 in words is "twenty million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 2633 3840 5266 7680 7899 10532 13165 15798 21064 26330 31596 39495 42128 52660 63192 78990 84256 105320 126384 157980 168512 210640 252768 315960 337024 421280 505536 631920 674048 842560 1011072 1263840 1348096 1685120 2022144 2527680 3370240 4044288 5055360 6740480 10110720 20221440