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2214900 = 22325223107
BaseRepresentation
bin1000011100101111110100
311011112021100
420130233310
51031334100
6115250100
724553302
oct10345764
94145240
102214900
1112830a6
128a9930
135c71bc
14419272
152db400
hex21cbf4

2214900 has 108 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 559680.

The previous prime is 2214869. The next prime is 2214907. The reversal of 2214900 is 94122.

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 (2214907) 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, 20647 + ... + 20753.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22214900 is an apocalyptic number.

2214900 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 2214900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2214900 is an abundant number, since it is smaller than the sum of its proper divisors (5097132).

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

2214900 is a wasteful number, since it uses less digits than its factorization.

2214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

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

The square root of 2214900 is about 1488.2540105775. The cubic root of 2214900 is about 130.3521026744.

The spelling of 2214900 in words is "two million, two hundred fourteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 107 115 138 150 180 207 214 225 230 276 300 321 345 414 428 450 460 535 575 642 690 828 900 963 1035 1070 1150 1284 1380 1605 1725 1926 2070 2140 2300 2461 2675 3210 3450 3852 4140 4815 4922 5175 5350 6420 6900 7383 8025 9630 9844 10350 10700 12305 14766 16050 19260 20700 22149 24075 24610 29532 32100 36915 44298 48150 49220 61525 73830 88596 96300 110745 123050 147660 184575 221490 246100 369150 442980 553725 738300 1107450 2214900