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2189400 = 233524189
BaseRepresentation
bin1000010110100001011000
311010020021220
420112201120
51030030100
6114532040
724416043
oct10264130
94106256
102189400
111265a24
12897020
135b8705
1440dc5a
152d3aa0
hex216858

2189400 has 96 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 563200.

The previous prime is 2189399. The next prime is 2189417. The reversal of 2189400 is 49812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24556 + ... + 24644.

22189400 is an apocalyptic number.

2189400 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 2189400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515400).

2189400 is an abundant number, since it is smaller than the sum of its proper divisors (4841400).

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

2189400 is a wasteful number, since it uses less digits than its factorization.

2189400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2189400 is about 1479.6621235944. The cubic root of 2189400 is about 129.8499254370.

The spelling of 2189400 in words is "two million, one hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 89 100 120 123 150 164 178 200 205 246 267 300 328 356 410 445 492 534 600 615 712 820 890 984 1025 1068 1230 1335 1640 1780 2050 2136 2225 2460 2670 3075 3560 3649 4100 4450 4920 5340 6150 6675 7298 8200 8900 10680 10947 12300 13350 14596 17800 18245 21894 24600 26700 29192 36490 43788 53400 54735 72980 87576 91225 109470 145960 182450 218940 273675 364900 437880 547350 729800 1094700 2189400