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22280100 = 22352233229
BaseRepresentation
bin101010011111…
…1011110100100
31112220221112220
41110333132210
521200430400
62113312340
7360243363
oct124773644
945827486
1022280100
1111638407
1275656b0
1348011bb
142d5d7da
151e517a0
hex153f7a4

22280100 has 72 divisors (see below), whose sum is σ = 67287360. Its totient is φ = 5681280.

The previous prime is 22280099. The next prime is 22280117. The reversal of 22280100 is 108222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22280100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286 + ... + 8514.

Almost surely, 222280100 is an apocalyptic number.

22280100 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 22280100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33643680).

22280100 is an abundant number, since it is smaller than the sum of its proper divisors (45007260).

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

22280100 is a wasteful number, since it uses less digits than its factorization.

22280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 22280100 is about 4720.1800813105. The cubic root of 22280100 is about 281.3880902130.

Adding to 22280100 its reverse (108222), we get a palindrome (22388322).

The spelling of 22280100 in words is "twenty-two million, two hundred eighty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3229 3450 6458 6900 9687 12916 16145 19374 32290 38748 48435 64580 74267 80725 96870 148534 161450 193740 222801 242175 297068 322900 371335 445602 484350 742670 891204 968700 1114005 1485340 1856675 2228010 3713350 4456020 5570025 7426700 11140050 22280100