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2221085780004 = 2237135341991591
BaseRepresentation
bin100000010100100011000…
…001110110100000100100
321212100000021202010212110
4200110203001312200210
5242342240424430004
64420204104321020
7316316401425240
oct40244301664044
97770007663773
102221085780004
11786a59023653
122ba565173170
131315a81a0540
1479703133420
153cb97695589
hex20523076824

2221085780004 has 192 divisors, whose sum is σ = 6514433372160. Its totient is φ = 573350469120.

The previous prime is 2221085779981. The next prime is 2221085780051. The reversal of 2221085780004 is 4000875801222.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 24204249 + ... + 24295839.

It is an arithmetic number, because the mean of its divisors is an integer number (33929340480).

Almost surely, 22221085780004 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 2221085780004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257216686080).

2221085780004 is an abundant number, since it is smaller than the sum of its proper divisors (4293347592156).

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

2221085780004 is a wasteful number, since it uses less digits than its factorization.

2221085780004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92090 (or 92088 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 2221085780004 in words is "two trillion, two hundred twenty-one billion, eighty-five million, seven hundred eighty thousand, four".