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2201023120 = 24597283637
BaseRepresentation
bin1000001100110000…
…1111001010010000
312200101121120002211
42003030033022100
514001430214440
61002223321504
7105354250012
oct20314171220
95611546084
102201023120
11a2a46927a
12515150294
13290ccc25a
1416c4661b2
15cd36eeea
hex8330f290

2201023120 has 40 divisors (see below), whose sum is σ = 5170153464. Its totient is φ = 871329792.

The previous prime is 2201023117. The next prime is 2201023127. The reversal of 2201023120 is 213201022.

It can be written as a sum of positive squares in 4 ways, for example, as 199713424 + 2001309696 = 14132^2 + 44736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2201023120.

It is not an unprimeable number, because it can be changed into a prime (2201023127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134059 + ... + 149578.

Almost surely, 22201023120 is an apocalyptic number.

2201023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201023120 is an abundant number, since it is smaller than the sum of its proper divisors (2969130344).

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

2201023120 is a wasteful number, since it uses less digits than its factorization.

2201023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283747 (or 283741 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2201023120 is about 46915.0628263461. The cubic root of 2201023120 is about 1300.7930309268.

Adding to 2201023120 its reverse (213201022), we get a palindrome (2414224142).

The spelling of 2201023120 in words is "two billion, two hundred one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 283637 567274 1134548 1418185 2269096 2836370 4538192 5672740 11345480 22690960 27512789 55025578 110051156 137563945 220102312 275127890 440204624 550255780 1100511560 2201023120