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2220096 = 26331373
BaseRepresentation
bin1000011110000001000000
311011210101210
420132001000
51032020341
6115330120
724604404
oct10360100
94153353
102220096
111286a9a
128b0940
135c9688
1441b104
152dcc16
hex21e040

2220096 has 56 divisors (see below), whose sum is σ = 6079744. Its totient is φ = 714240.

The previous prime is 2220089. The next prime is 2220151. The reversal of 2220096 is 6900222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5766 + ... + 6138.

22220096 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 2220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039872).

2220096 is an abundant number, since it is smaller than the sum of its proper divisors (3859648).

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

2220096 is a wasteful number, since it uses less digits than its factorization.

2220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2220096 is about 1489.9986577175. The cubic root of 2220096 is about 130.4539553652.

The spelling of 2220096 in words is "two million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 373 496 744 746 992 1119 1488 1492 1984 2238 2976 2984 4476 5952 5968 8952 11563 11936 17904 23126 23872 34689 35808 46252 69378 71616 92504 138756 185008 277512 370016 555024 740032 1110048 2220096