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22121000 = 2353112011
BaseRepresentation
bin101010001100…
…0101000101000
31112121212022022
41110120220220
521130333000
62110044012
7356011466
oct124305050
945555268
1022121000
1111539920
1274a9608
134776965
142d1b836
151e1e585
hex1518a28

22121000 has 64 divisors (see below), whose sum is σ = 56496960. Its totient is φ = 8040000.

The previous prime is 22120957. The next prime is 22121003. The reversal of 22121000 is 12122.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22121003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9995 + ... + 12005.

It is an arithmetic number, because the mean of its divisors is an integer number (882765).

Almost surely, 222121000 is an apocalyptic number.

22121000 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 22121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28248480).

22121000 is an abundant number, since it is smaller than the sum of its proper divisors (34375960).

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

22121000 is a wasteful number, since it uses less digits than its factorization.

22121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 22121000 is about 4703.2967161343. The cubic root of 22121000 is about 280.7167013468.

Adding to 22121000 its reverse (12122), we get a palindrome (22133122).

The spelling of 22121000 in words is "twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2011 2200 2750 4022 5500 8044 10055 11000 16088 20110 22121 40220 44242 50275 80440 88484 100550 110605 176968 201100 221210 251375 402200 442420 502750 553025 884840 1005500 1106050 2011000 2212100 2765125 4424200 5530250 11060500 22121000