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2228781635040 = 253553792234973
BaseRepresentation
bin100000011011101101101…
…111001101010111100000
321220001212121212002022110
4200123231233031113200
5243004021044310130
64423515501235320
7320011200213342
oct40335557152740
97801777762273
102228781635040
1178a248146424
122bbb52562b40
131322336c400c
1479c33269292
153ce98113ab0
hex206edbcd5e0

2228781635040 has 384 divisors, whose sum is σ = 7277619363840. Its totient is φ = 573049331712.

The previous prime is 2228781634957. The next prime is 2228781635063. The reversal of 2228781635040 is 405361878222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 448173994 + ... + 448178966.

It is an arithmetic number, because the mean of its divisors is an integer number (18952133760).

Almost surely, 22228781635040 is an apocalyptic number.

2228781635040 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 2228781635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638809681920).

2228781635040 is an abundant number, since it is smaller than the sum of its proper divisors (5048837728800).

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

2228781635040 is a wasteful number, since it uses less digits than its factorization.

2228781635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 2228781635040 in words is "two trillion, two hundred twenty-eight billion, seven hundred eighty-one million, six hundred thirty-five thousand, forty".