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20224321440 = 253542134003
BaseRepresentation
bin10010110101011101…
…101010011110100000
31221012110121222102020
4102311131222132200
5312404411241230
613142501221440
71314114616161
oct226535523640
957173558366
1020224321440
118639114044
123b05101880
131ba3cc930b
14d9bdd9768
157d57cb810
hex4b576a7a0

20224321440 has 48 divisors (see below), whose sum is σ = 63706614048. Its totient is φ = 5393152256.

The previous prime is 20224321399. The next prime is 20224321459. The reversal of 20224321440 is 4412342202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20224321440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21066522 + ... + 21067481.

It is an arithmetic number, because the mean of its divisors is an integer number (1327221126).

Almost surely, 220224321440 is an apocalyptic number.

20224321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224321440 is an abundant number, since it is smaller than the sum of its proper divisors (43482292608).

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

20224321440 is a wasteful number, since it uses less digits than its factorization.

20224321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42134021 (or 42134013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20224321440 its reverse (4412342202), we get a palindrome (24636663642).

The spelling of 20224321440 in words is "twenty billion, two hundred twenty-four million, three 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 80 96 120 160 240 480 42134003 84268006 126402009 168536012 210670015 252804018 337072024 421340030 505608036 632010045 674144048 842680060 1011216072 1264020090 1348288096 1685360120 2022432144 2528040180 3370720240 4044864288 5056080360 6741440480 10112160720 20224321440