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21342200 = 23521189109
BaseRepresentation
bin101000101101…
…0011111111000
31111011021222212
41101122133320
520430422300
62041234252
7346256105
oct121323770
944137885
1021342200
1111057790
127192988
134563329
142b97aac
151d18935
hex145a7f8

21342200 has 96 divisors (see below), whose sum is σ = 55242000. Its totient is φ = 7603200.

The previous prime is 21342193. The next prime is 21342203. The reversal of 21342200 is 224312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342203) 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, 195746 + ... + 195854.

Almost surely, 221342200 is an apocalyptic number.

21342200 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 21342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27621000).

21342200 is an abundant number, since it is smaller than the sum of its proper divisors (33899800).

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

21342200 is a wasteful number, since it uses less digits than its factorization.

21342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 21342200 is about 4619.7618986264. The cubic root of 21342200 is about 277.3829281888.

Adding to 21342200 its reverse (224312), we get a palindrome (21566512).

It can be divided in two parts, 2134 and 2200, that added together give a palindrome (4334).

The spelling of 21342200 in words is "twenty-one million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 109 110 178 200 218 220 275 356 436 440 445 545 550 712 872 890 979 1090 1100 1199 1780 1958 2180 2200 2225 2398 2725 3560 3916 4360 4450 4796 4895 5450 5995 7832 8900 9592 9701 9790 10900 11990 17800 19402 19580 21800 23980 24475 29975 38804 39160 47960 48505 48950 59950 77608 97010 97900 106711 119900 194020 195800 213422 239800 242525 388040 426844 485050 533555 853688 970100 1067110 1940200 2134220 2667775 4268440 5335550 10671100 21342200