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2265074200 = 235225145121
BaseRepresentation
bin1000011100000010…
…0100101000011000
312211212010200200001
42013000210220120
514114324333300
61012432222344
7110062545604
oct20700445030
95755120601
102265074200
11a62636854
1253269a9b4
132a13670bc
14176b7a504
15d3cc316a
hex87024a18

2265074200 has 48 divisors (see below), whose sum is σ = 5287395960. Its totient is φ = 902400000.

The previous prime is 2265074191. The next prime is 2265074209. The reversal of 2265074200 is 24705622.

It is an interprime number because it is at equal distance from previous prime (2265074191) and next prime (2265074209).

It is a super-2 number, since 2×22650742002 = 10261122263011280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265074209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27640 + ... + 72760.

Almost surely, 22265074200 is an apocalyptic number.

2265074200 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 2265074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643697980).

2265074200 is an abundant number, since it is smaller than the sum of its proper divisors (3022321760).

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

2265074200 is a wasteful number, since it uses less digits than its factorization.

2265074200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45388 (or 45379 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2265074200 is about 47592.7956732949. The cubic root of 2265074200 is about 1313.2905254298.

Adding to 2265074200 its reverse (24705622), we get a palindrome (2289779822).

The spelling of 2265074200 in words is "two billion, two hundred sixty-five million, seventy-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 502 1004 1255 2008 2510 5020 6275 10040 12550 25100 45121 50200 90242 180484 225605 360968 451210 902420 1128025 1804840 2256050 4512100 9024200 11325371 22650742 45301484 56626855 90602968 113253710 226507420 283134275 453014840 566268550 1132537100 2265074200