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20244310400 = 275219332779
BaseRepresentation
bin10010110110101001…
…111010100110000000
31221020212020112010002
4102312221322212000
5312430020413100
613144453455132
71314446541056
oct226651724600
957225215102
1020244310400
118649427046
123b0b9414a8
131ba81a76c2
14da09201d6
157d74292d5
hex4b6a7a980

20244310400 has 96 divisors (see below), whose sum is σ = 50270424600. Its totient is φ = 8055521280.

The previous prime is 20244310319. The next prime is 20244310487. The reversal of 20244310400 is 401344202.

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, 601211 + ... + 633989.

Almost surely, 220244310400 is an apocalyptic number.

20244310400 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 20244310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25135212300).

20244310400 is an abundant number, since it is smaller than the sum of its proper divisors (30026114200).

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

20244310400 is a wasteful number, since it uses less digits than its factorization.

20244310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32996 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20244310400 its reverse (401344202), we get a palindrome (20645654602).

The spelling of 20244310400 in words is "twenty billion, two hundred forty-four million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 193 200 320 386 400 640 772 800 965 1544 1600 1930 3088 3200 3860 4825 6176 7720 9650 12352 15440 19300 24704 30880 32779 38600 61760 65558 77200 123520 131116 154400 163895 262232 308800 327790 524464 617600 655580 819475 1048928 1311160 1638950 2097856 2622320 3277900 4195712 5244640 6326347 6555800 10489280 12652694 13111600 20978560 25305388 26223200 31631735 50610776 52446400 63263470 101221552 104892800 126526940 158158675 202443104 253053880 316317350 404886208 506107760 632634700 809772416 1012215520 1265269400 2024431040 2530538800 4048862080 5061077600 10122155200 20244310400