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2274683040 = 2533571937107
BaseRepresentation
bin1000011110010100…
…1110100010100000
312212112012212112000
42013211032202200
514124304324130
61013414204000
7110240325660
oct20745164240
95775185460
102274683040
11a67aaa043
12535953600
132a334c8c6
1417815c1a0
15d4a70260
hex8794e8a0

2274683040 has 768 divisors, whose sum is σ = 9928396800. Its totient is φ = 474771456.

The previous prime is 2274683029. The next prime is 2274683041. The reversal of 2274683040 is 403864722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2274682986 and 2274683004.

It is not an unprimeable number, because it can be changed into a prime (2274683041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21258667 + ... + 21258773.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 22274683040 is an apocalyptic number.

2274683040 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 2274683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964198400).

2274683040 is an abundant number, since it is smaller than the sum of its proper divisors (7653713760).

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

2274683040 is a wasteful number, since it uses less digits than its factorization.

2274683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2274683040 is about 47693.6373114905. The cubic root of 2274683040 is about 1315.1449747878.

The spelling of 2274683040 in words is "two billion, two hundred seventy-four million, six hundred eighty-three thousand, forty".