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2194200 = 2332522353
BaseRepresentation
bin1000010111101100011000
311010110212200
420113230120
51030203300
6115010200
724436041
oct10275430
94113780
102194200
111269598
12899960
135ba958
144118c8
152d5200
hex217b18

2194200 has 144 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 549120.

The previous prime is 2194193. The next prime is 2194201. The reversal of 2194200 is 24912.

2194200 = 153 + 163 + ... + 543.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41374 + ... + 41426.

It is an arithmetic number, because the mean of its divisors is an integer number (54405).

22194200 is an apocalyptic number.

2194200 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 2194200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2194200 is an abundant number, since it is smaller than the sum of its proper divisors (5640120).

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

2194200 is a wasteful number, since it uses less digits than its factorization.

2194200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2194200 is about 1481.2832274754. The cubic root of 2194200 is about 129.9447496974.

The spelling of 2194200 in words is "two million, one hundred ninety-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 53 60 69 72 75 90 92 100 106 115 120 138 150 159 180 184 200 207 212 225 230 265 276 300 318 345 360 414 424 450 460 477 530 552 575 600 636 690 795 828 900 920 954 1035 1060 1150 1219 1272 1325 1380 1590 1656 1725 1800 1908 2070 2120 2300 2385 2438 2650 2760 3180 3450 3657 3816 3975 4140 4600 4770 4876 5175 5300 6095 6360 6900 7314 7950 8280 9540 9752 10350 10600 10971 11925 12190 13800 14628 15900 18285 19080 20700 21942 23850 24380 29256 30475 31800 36570 41400 43884 47700 48760 54855 60950 73140 87768 91425 95400 109710 121900 146280 182850 219420 243800 274275 365700 438840 548550 731400 1097100 2194200