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2274294978 = 232536133889
BaseRepresentation
bin1000011110001110…
…1111110011000010
312212111111011012100
42013203233303002
514124204414403
61013402011230
7110234121414
oct20743576302
95774434170
102274294978
11a6786452a
125357a6b16
132a3245097
1417809a9b4
15d49e52a3
hex878efcc2

2274294978 has 48 divisors (see below), whose sum is σ = 5030096760. Its totient is φ = 742390272.

The previous prime is 2274294977. The next prime is 2274294991. The reversal of 2274294978 is 8794924722.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1701315009 + 572979969 = 41247^2 + 23937^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2274294973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582858 + ... + 586746.

Almost surely, 22274294978 is an apocalyptic number.

2274294978 is an abundant number, since it is smaller than the sum of its proper divisors (2755801782).

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

2274294978 is a wasteful number, since it uses less digits than its factorization.

2274294978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4560 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2274294978 is about 47689.5688594477. The cubic root of 2274294978 is about 1315.0701824166.

The spelling of 2274294978 in words is "two billion, two hundred seventy-four million, two hundred ninety-four thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 613 954 1226 1839 3678 3889 5517 7778 11034 11667 23334 32489 35001 64978 70002 97467 194934 206117 292401 412234 584802 618351 1236702 1855053 2383957 3710106 4767914 7151871 14303742 21455613 42911226 126349721 252699442 379049163 758098326 1137147489 2274294978