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20243320400 = 2452263337571
BaseRepresentation
bin10010110110100110…
…001000111001010000
31221020210101020002102
4102312212020321100
5312424242223100
613144420335532
71314435245552
oct226646107120
957223336072
1020243320400
118648910266
123b0b5445a8
131ba7c1bbc4
14da07434d2
157d72d0cd5
hex4b6988e50

20243320400 has 120 divisors (see below), whose sum is σ = 49050116544. Its totient is φ = 8028518400.

The previous prime is 20243320387. The next prime is 20243320411. The reversal of 20243320400 is 402334202.

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 23 ways as a sum of consecutive naturals, for example, 35452115 + ... + 35452685.

Almost surely, 220243320400 is an apocalyptic number.

20243320400 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 20243320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525058272).

20243320400 is an abundant number, since it is smaller than the sum of its proper divisors (28806796144).

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

20243320400 is a wasteful number, since it uses less digits than its factorization.

20243320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20243320400 its reverse (402334202), we get a palindrome (20645654602).

The spelling of 20243320400 in words is "twenty billion, two hundred forty-three million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 337 400 526 571 674 1052 1142 1315 1348 1685 2104 2284 2630 2696 2855 3370 4208 4568 5260 5392 5710 6575 6740 8425 9136 10520 11420 13150 13480 14275 16850 21040 22840 26300 26960 28550 33700 45680 52600 57100 67400 88631 105200 114200 134800 150173 177262 192427 228400 300346 354524 384854 443155 600692 709048 750865 769708 886310 962135 1201384 1418096 1501730 1539416 1772620 1924270 2215775 2402768 3003460 3078832 3545240 3754325 3848540 4431550 4810675 6006920 7090480 7508650 7697080 8863100 9621350 12013840 15017300 15394160 17726200 19242700 30034600 35452400 38485400 50608301 60069200 76970800 101216602 202433204 253041505 404866408 506083010 809732816 1012166020 1265207525 2024332040 2530415050 4048664080 5060830100 10121660200 20243320400