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21998200 = 2352719827
BaseRepresentation
bin101001111101…
…0101001111000
31112101121212011
41103322221320
521112420300
62103255304
7354660460
oct123725170
945347764
1021998200
1111465634
12744a534
134732ab3
142cc8ba0
151de7eba
hex14faa78

21998200 has 96 divisors (see below), whose sum is σ = 61603200. Its totient is φ = 7136640.

The previous prime is 21998173. The next prime is 21998201. The reversal of 21998200 is 289912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21998201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26187 + ... + 27013.

It is an arithmetic number, because the mean of its divisors is an integer number (641700).

Almost surely, 221998200 is an apocalyptic number.

21998200 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 21998200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30801600).

21998200 is an abundant number, since it is smaller than the sum of its proper divisors (39605000).

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

21998200 is a wasteful number, since it uses less digits than its factorization.

21998200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 21998200 is about 4690.2238752537. The cubic root of 21998200 is about 280.1962909317.

The spelling of 21998200 in words is "twenty-one million, nine hundred ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 827 950 1064 1330 1400 1654 1900 2660 3308 3325 3800 4135 5320 5789 6616 6650 8270 11578 13300 15713 16540 20675 23156 26600 28945 31426 33080 41350 46312 57890 62852 78565 82700 109991 115780 125704 144725 157130 165400 219982 231560 289450 314260 392825 439964 549955 578900 628520 785650 879928 1099910 1157800 1571300 2199820 2749775 3142600 4399640 5499550 10999100 21998200