Search a number
-
+
20224020440 = 2351322991719
BaseRepresentation
bin10010110101011100…
…100000111111011000
31221012110001200112002
4102311130200333120
5312404322123230
613142450540132
71314112223501
oct226534407730
957173050462
1020224020440
118638a28988
123b04b97648
131ba3c22300
14d9bd5bba8
157d576c545
hex4b5720fd8

20224020440 has 48 divisors (see below), whose sum is σ = 49273628400. Its totient is φ = 7467328128.

The previous prime is 20224020433. The next prime is 20224020463. The reversal of 20224020440 is 4402042202.

It is a super-2 number, since 2×202240204402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1489100 + ... + 1502619.

It is an arithmetic number, because the mean of its divisors is an integer number (1026533925).

Almost surely, 220224020440 is an apocalyptic number.

20224020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224020440 is an abundant number, since it is smaller than the sum of its proper divisors (29049607960).

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

20224020440 is a wasteful number, since it uses less digits than its factorization.

20224020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991756 (or 2991739 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20224020440 its reverse (4402042202), we get a palindrome (24626062642).

The spelling of 20224020440 in words is "twenty billion, two hundred twenty-four million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 2991719 5983438 11966876 14958595 23933752 29917190 38892347 59834380 77784694 119668760 155569388 194461735 311138776 388923470 505600511 777846940 1011201022 1555693880 2022402044 2528002555 4044804088 5056005110 10112010220 20224020440