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204220143244440 = 233257942117056381
BaseRepresentation
bin101110011011110010110101…
…000110000001010010011000
3222210002020212220200021200100
4232123302311012001102120
5203231420323132310230
62002201234425135400
761005263346114051
oct5633626506012230
9883066786607610
10204220143244440
115a086304942874
121aaa329492a560
1389c4b5265641b
143860444377728
15189237bad2660
hexb9bcb5181498

204220143244440 has 192 divisors, whose sum is σ = 673713443894400. Its totient is φ = 53641632844800.

The previous prime is 204220143244297. The next prime is 204220143244457. The reversal of 204220143244440 is 44442341022402.

204220143244440 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 201 + 4 + 3 + 2 + 4 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204220143244395 and 204220143244404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3445050 + ... + 20501430.

It is an arithmetic number, because the mean of its divisors is an integer number (3508924186950).

Almost surely, 2204220143244440 is an apocalyptic number.

204220143244440 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 204220143244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336856721947200).

204220143244440 is an abundant number, since it is smaller than the sum of its proper divisors (469493300649960).

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

204220143244440 is a wasteful number, since it uses less digits than its factorization.

204220143244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17056898 (or 17056891 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204220143244440 its reverse (44442341022402), we get a palindrome (248662484266842).

The spelling of 204220143244440 in words is "two hundred four trillion, two hundred twenty billion, one hundred forty-three million, two hundred forty-four thousand, four hundred forty".