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2205542000 = 24535320807
BaseRepresentation
bin1000001101110101…
…1110011001110000
312200201010010211202
42003131132121300
514004104321000
61002504230332
7105440540414
oct20335363160
95621103752
102205542000
11a31a75392
1251676b3a8
13291c2204c
1416ccc0d44
15cd963dd5
hex8375e670

2205542000 has 80 divisors (see below), whose sum is σ = 5433884352. Its totient is φ = 865529600.

The previous prime is 2205541997. The next prime is 2205542011. The reversal of 2205542000 is 2455022.

2205542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95597 + ... + 116403.

Almost surely, 22205542000 is an apocalyptic number.

2205542000 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 2205542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716942176).

2205542000 is an abundant number, since it is smaller than the sum of its proper divisors (3228342352).

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

2205542000 is a wasteful number, since it uses less digits than its factorization.

2205542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20883 (or 20867 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2205542000 is about 46963.1983578631. The cubic root of 2205542000 is about 1301.6826337940.

Adding to 2205542000 its reverse (2455022), we get a palindrome (2207997022).

The spelling of 2205542000 in words is "two billion, two hundred five million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 20807 21200 26500 41614 53000 83228 104035 106000 166456 208070 332912 416140 520175 832280 1040350 1102771 1664560 2080700 2205542 2600875 4161400 4411084 5201750 5513855 8322800 8822168 10403500 11027710 17644336 20807000 22055420 27569275 41614000 44110840 55138550 88221680 110277100 137846375 220554200 275692750 441108400 551385500 1102771000 2205542000