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2276993680 = 245132189417
BaseRepresentation
bin1000011110111000…
…0010101010010000
312212200120021010021
42013232002222100
514130402244210
61013535513224
7110266061353
oct20756025220
95780507107
102276993680
11a69338065
12536688814
132a397b550
141785a029a
15d4d79bda
hex87b82a90

2276993680 has 40 divisors (see below), whose sum is σ = 5701244472. Its totient is φ = 840735744.

The previous prime is 2276993669. The next prime is 2276993701. The reversal of 2276993680 is 863996722.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 2265379216 = 3408^2 + 47596^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1093669 + ... + 1095748.

Almost surely, 22276993680 is an apocalyptic number.

2276993680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2276993680 is an abundant number, since it is smaller than the sum of its proper divisors (3424250792).

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

2276993680 is a wasteful number, since it uses less digits than its factorization.

2276993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189443 (or 2189437 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 2276993680 is about 47717.8549392154. The cubic root of 2276993680 is about 1315.5901354478.

The spelling of 2276993680 in words is "two billion, two hundred seventy-six million, nine hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2189417 4378834 8757668 10947085 17515336 21894170 28462421 35030672 43788340 56924842 87576680 113849684 142312105 175153360 227699368 284624210 455398736 569248420 1138496840 2276993680