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21225700 = 22523141167
BaseRepresentation
bin101000011111…
…0000011100100
31110221101012001
41100332003210
520413210300
62034535044
7345262336
oct120760344
943841161
1021225700
1110a88201
127137484
1345222b2
142b67456
151ce416a
hex143e0e4

21225700 has 72 divisors (see below), whose sum is σ = 48996864. Its totient is φ = 7968000.

The previous prime is 21225691. The next prime is 21225713. The reversal of 21225700 is 752212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127017 + ... + 127183.

It is an arithmetic number, because the mean of its divisors is an integer number (680512).

Almost surely, 221225700 is an apocalyptic number.

21225700 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 21225700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498432).

21225700 is an abundant number, since it is smaller than the sum of its proper divisors (27771164).

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

21225700 is a wasteful number, since it uses less digits than its factorization.

21225700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 21225700 is about 4607.1357696512. The cubic root of 21225700 is about 276.8772931986.

Adding to 21225700 its reverse (752212), we get a palindrome (21977912).

The spelling of 21225700 in words is "twenty-one million, two hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 167 205 310 334 410 620 668 775 820 835 1025 1271 1550 1670 2050 2542 3100 3340 4100 4175 5084 5177 6355 6847 8350 10354 12710 13694 16700 20708 25420 25885 27388 31775 34235 51770 63550 68470 103540 127100 129425 136940 171175 212257 258850 342350 424514 517700 684700 849028 1061285 2122570 4245140 5306425 10612850 21225700