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22229900 = 22527112887
BaseRepresentation
bin101010011001…
…1001110001100
31112211101200122
41110303032030
521142324100
62112244112
7356644130
oct124631614
945741618
1022229900
1111603720
127540638
1347b43b4
142d493c0
151e41985
hex153338c

22229900 has 72 divisors (see below), whose sum is σ = 60162816. Its totient is φ = 6926400.

The previous prime is 22229873. The next prime is 22229903. The reversal of 22229900 is 992222.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22229900.

It is not an unprimeable number, because it can be changed into a prime (22229903) 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, 6257 + ... + 9143.

Almost surely, 222229900 is an apocalyptic number.

22229900 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 22229900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30081408).

22229900 is an abundant number, since it is smaller than the sum of its proper divisors (37932916).

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

22229900 is a wasteful number, since it uses less digits than its factorization.

22229900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 22229900 is about 4714.8594888925. The cubic root of 22229900 is about 281.1765964819.

It can be divided in two parts, 22 and 229900, that added together give a palindrome (229922).

The spelling of 22229900 in words is "twenty-two million, two hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 2887 3850 5774 7700 11548 14435 20209 28870 31757 40418 57740 63514 72175 80836 101045 127028 144350 158785 202090 222299 288700 317570 404180 444598 505225 635140 793925 889196 1010450 1111495 1587850 2020900 2222990 3175700 4445980 5557475 11114950 22229900