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2274013620 = 2232512633409
BaseRepresentation
bin1000011110001010…
…1011000110110100
312212110221212020200
42013202223012310
514124121413440
61013352000500
7110231540214
oct20742530664
95773855220
102274013620
11a676920aa
12535690130
132a3176cb8
14178026244
15d498bc30
hex878ab1b4

2274013620 has 36 divisors (see below), whose sum is σ = 6897841860. Its totient is φ = 606403584.

The previous prime is 2274013607. The next prime is 2274013633. The reversal of 2274013620 is 263104722.

2274013620 is a `hidden beast` number, since 2 + 27 + 4 + 0 + 13 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (2274013607) and next prime (2274013633).

It can be written as a sum of positive squares in 2 ways, for example, as 531118116 + 1742895504 = 23046^2 + 41748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22740136202 = 10342275887891008800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6316525 + ... + 6316884.

Almost surely, 22274013620 is an apocalyptic number.

2274013620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2274013620 is an abundant number, since it is smaller than the sum of its proper divisors (4623828240).

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

2274013620 is a wasteful number, since it uses less digits than its factorization.

2274013620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12633424 (or 12633419 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2274013620 is about 47686.6188778362. The cubic root of 2274013620 is about 1315.0159501118.

The spelling of 2274013620 in words is "two billion, two hundred seventy-four million, thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12633409 25266818 37900227 50533636 63167045 75800454 113700681 126334090 151600908 189501135 227401362 252668180 379002270 454802724 568503405 758004540 1137006810 2274013620