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2262978 = 23461229
BaseRepresentation
bin1000101000011111000010
311020222020000
420220133002
51034403403
6120300430
725143414
oct10503702
94228200
102262978
111306233
12911716
13613053
1442c9b4
152ea7a3
hex2287c2

2262978 has 40 divisors (see below), whose sum is σ = 5176380. Its totient is φ = 738720.

The previous prime is 2262977. The next prime is 2262979. The reversal of 2262978 is 8792622.

2262978 is a `hidden beast` number, since 22 + 629 + 7 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2262977) and next prime (2262979).

It can be written as a sum of positive squares in 2 ways, for example, as 2259009 + 3969 = 1503^2 + 63^2 .

It is a d-powerful number, because it can be written as 2 + 23 + 68 + 219 + 95 + 7 + 8 .

It is not an unprimeable number, because it can be changed into a prime (2262971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9768 + ... + 9996.

22262978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588190).

2262978 is an abundant number, since it is smaller than the sum of its proper divisors (2913402).

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

2262978 is a wasteful number, since it uses less digits than its factorization.

2262978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2262978 is about 1504.3197798341. The cubic root of 2262978 is about 131.2885274650.

It can be divided in two parts, 2262 and 978, that added together give a triangular number (3240 = T80).

The spelling of 2262978 in words is "two million, two hundred sixty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 229 366 458 549 687 1098 1374 1647 2061 3294 4122 4941 6183 9882 12366 13969 18549 27938 37098 41907 83814 125721 251442 377163 754326 1131489 2262978