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2275677264 = 243731218479
BaseRepresentation
bin1000011110100100…
…0001010001010000
312212121002101100010
42013221001101100
514130033133024
61013451354520
7110251636410
oct20751012120
95777071303
102275677264
11a68619013
12536152a40
132a360a2c3
1417833a640
15d4bb9b29
hex87a41450

2275677264 has 80 divisors (see below), whose sum is σ = 6935429120. Its totient is φ = 629216640.

The previous prime is 2275677221. The next prime is 2275677269. The reversal of 2275677264 is 4627765722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275677269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98824 + ... + 119655.

It is an arithmetic number, because the mean of its divisors is an integer number (86692864).

Almost surely, 22275677264 is an apocalyptic number.

2275677264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2275677264 is an abundant number, since it is smaller than the sum of its proper divisors (4659751856).

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

2275677264 is a wasteful number, since it uses less digits than its factorization.

2275677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218528 (or 218522 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 48.

The square root of 2275677264 is about 47704.0591983533. The cubic root of 2275677264 is about 1315.3365558005.

The spelling of 2275677264 in words is "two billion, two hundred seventy-five million, six hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 218479 436958 655437 873916 1310874 1529353 1747832 2621748 3058706 3495664 4588059 5243496 6117412 6772849 9176118 10486992 12234824 13545698 18352236 20318547 24469648 27091396 36704472 40637094 47409943 54182792 73408944 81274188 94819886 108365584 142229829 162548376 189639772 284459658 325096752 379279544 568919316 758559088 1137838632 2275677264