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21228300 = 223252103229
BaseRepresentation
bin101000011111…
…0101100001100
31110221111202100
41100332230030
520413301200
62034555100
7345303042
oct120765414
943844670
1021228300
1110a8a155
127138a90
134523532
142b68392
151ce4d00
hex143eb0c

21228300 has 108 divisors (see below), whose sum is σ = 67478320. Its totient is φ = 5581440.

The previous prime is 21228289. The next prime is 21228307. The reversal of 21228300 is 382212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21228307) 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, 92586 + ... + 92814.

Almost surely, 221228300 is an apocalyptic number.

21228300 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 21228300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33739160).

21228300 is an abundant number, since it is smaller than the sum of its proper divisors (46250020).

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

21228300 is a wasteful number, since it uses less digits than its factorization.

21228300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21228300 is about 4607.4179319875. The cubic root of 21228300 is about 276.8885979153. Note that the first 3 decimals are identical.

It can be divided in two parts, 21228 and 300, that added together give a triangular number (21528 = T207).

The spelling of 21228300 in words is "twenty-one million, two hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 229 300 309 412 450 458 515 618 687 900 916 927 1030 1145 1236 1374 1545 1854 2060 2061 2290 2575 2748 3090 3435 3708 4122 4580 4635 5150 5725 6180 6870 7725 8244 9270 10300 10305 11450 13740 15450 17175 18540 20610 22900 23175 23587 30900 34350 41220 46350 47174 51525 68700 70761 92700 94348 103050 117935 141522 206100 212283 235870 283044 353805 424566 471740 589675 707610 849132 1061415 1179350 1415220 1769025 2122830 2358700 3538050 4245660 5307075 7076100 10614150 21228300