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2188980 = 2232512161
BaseRepresentation
bin1000010110011010110100
311010012201100
420112122310
51030021410
6114530100
724414603
oct10263264
94105640
102188980
111265682
12896930
135b8471
1440da3a
152d38c0
hex2166b4

2188980 has 36 divisors (see below), whose sum is σ = 6640452. Its totient is φ = 583680.

The previous prime is 2188919. The next prime is 2188981. The reversal of 2188980 is 898812.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 1542564 = 804^2 + 1242^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2 + 1 + 8 + 85 + 95 + 87 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5901 + ... + 6260.

It is an arithmetic number, because the mean of its divisors is an integer number (184457).

22188980 is an apocalyptic number.

2188980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2188980 is an abundant number, since it is smaller than the sum of its proper divisors (4451472).

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

2188980 is a wasteful number, since it uses less digits than its factorization.

2188980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2188980 is about 1479.5201924949. The cubic root of 2188980 is about 129.8416217226.

The spelling of 2188980 in words is "two million, one hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12161 24322 36483 48644 60805 72966 109449 121610 145932 182415 218898 243220 364830 437796 547245 729660 1094490 2188980