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2200080 = 243589103
BaseRepresentation
bin1000011001001000010000
311010202221110
420121020100
51030400310
6115053320
724462141
oct10311020
94122843
102200080
111272a53
128a1240
135c052c
14413ac8
152d6d20
hex219210

2200080 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 574464.

The previous prime is 2200069. The next prime is 2200103. The reversal of 2200080 is 800022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21309 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

22200080 is an apocalyptic number.

2200080 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 2200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2200080 is an abundant number, since it is smaller than the sum of its proper divisors (4763760).

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

2200080 is a wasteful number, since it uses less digits than its factorization.

2200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2200080 is about 1483.2666651685. The cubic root of 2200080 is about 130.0607211405.

The spelling of 2200080 in words is "two million, two hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 103 120 178 206 240 267 309 356 412 445 515 534 618 712 824 890 1030 1068 1236 1335 1424 1545 1648 1780 2060 2136 2472 2670 3090 3560 4120 4272 4944 5340 6180 7120 8240 9167 10680 12360 18334 21360 24720 27501 36668 45835 55002 73336 91670 110004 137505 146672 183340 220008 275010 366680 440016 550020 733360 1100040 2200080