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2276415440 = 245132188861
BaseRepresentation
bin1000011110101111…
…0101011111010000
312212122110212220222
42013223311133100
514130230243230
61013515252212
7110261132465
oct20753653720
95778425828
102276415440
11a68a82682
1253644a068
132a38082b0
1417848d66c
15d4cb36e5
hex87af57d0

2276415440 has 40 divisors (see below), whose sum is σ = 5699796648. Its totient is φ = 840522240.

The previous prime is 2276415431. The next prime is 2276415451. The reversal of 2276415440 is 445146722.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25482304 + 2250933136 = 5048^2 + 47444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2276415440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093391 + ... + 1095470.

Almost surely, 22276415440 is an apocalyptic number.

2276415440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2276415440 is an abundant number, since it is smaller than the sum of its proper divisors (3423381208).

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

2276415440 is a wasteful number, since it uses less digits than its factorization.

2276415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188887 (or 2188881 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 2276415440 is about 47711.7956065374. The cubic root of 2276415440 is about 1315.4787618048.

The spelling of 2276415440 in words is "two billion, two hundred seventy-six million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2188861 4377722 8755444 10944305 17510888 21888610 28455193 35021776 43777220 56910386 87554440 113820772 142275965 175108880 227641544 284551930 455283088 569103860 1138207720 2276415440