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2240224003044 = 22331719346718523
BaseRepresentation
bin100000100110010111110…
…000011000001111100100
321221011102001200121101000
4200212113300120033210
5243200434321044134
64433051131033300
7320564560560666
oct40462760301744
97834361617330
102240224003044
1179408a057905
1230220659b830
13133338175581
147a5dabac536
153d417934e99
hex20997c183e4

2240224003044 has 192 divisors, whose sum is σ = 6475516185600. Its totient is φ = 665597108736.

The previous prime is 2240224003021. The next prime is 2240224003079. The reversal of 2240224003044 is 4403004220422.

2240224003044 is a `hidden beast` number, since 224 + 0 + 2 + 2 + 400 + 30 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2240224002999 and 2240224003017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120933567 + ... + 120952089.

It is an arithmetic number, because the mean of its divisors is an integer number (33726646800).

Almost surely, 22240224003044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240224003044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237758092800).

2240224003044 is an abundant number, since it is smaller than the sum of its proper divisors (4235292182556).

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

2240224003044 is a wasteful number, since it uses less digits than its factorization.

2240224003044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22039 (or 22031 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2240224003044 its reverse (4403004220422), we get a palindrome (6643228223466).

The spelling of 2240224003044 in words is "two trillion, two hundred forty billion, two hundred twenty-four million, three thousand, forty-four".