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2210080 = 25519727
BaseRepresentation
bin1000011011100100100000
311011021122211
420123210200
51031210310
6115211504
724533245
oct10334440
94137584
102210080
11127a514
128a6b94
135c4c52
144175cc
152d9c8a
hex21b920

2210080 has 48 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 836352.

The previous prime is 2210077. The next prime is 2210107. The reversal of 2210080 is 800122.

It is a self number, because there is not a number n which added to its sum of digits gives 2210080.

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, 2677 + ... + 3403.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

22210080 is an apocalyptic number.

2210080 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 2210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

2210080 is an abundant number, since it is smaller than the sum of its proper divisors (3293600).

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

2210080 is a wasteful number, since it uses less digits than its factorization.

2210080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2210080 is about 1486.6337814001. The cubic root of 2210080 is about 130.2574778686.

The spelling of 2210080 in words is "two million, two hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 727 760 1454 1520 2908 3040 3635 5816 7270 11632 13813 14540 23264 27626 29080 55252 58160 69065 110504 116320 138130 221008 276260 442016 552520 1105040 2210080