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2287134976 = 2874612
BaseRepresentation
bin1000100001010010…
…1110100100000000
312220101122111100211
42020110232210000
514141001304401
61014541123504
7110451220000
oct21024564400
95811574324
102287134976
11a740343a5
12539b59594
132a5abc509
14179a80000
15d5bce951
hex8852e900

2287134976 has 135 divisors (see below), whose sum is σ = 5414649513. Its totient is φ = 964131840.

The previous prime is 2287134943. The next prime is 2287134977. The reversal of 2287134976 is 6794317822.

It is a happy number.

The square root of 2287134976 is 47824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74373376 + 2212761600 = 8624^2 + 47040^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2287134977) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37493986 + ... + 37494046.

Almost surely, 22287134976 is an apocalyptic number.

2287134976 is the 47824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287134976

2287134976 is an abundant number, since it is smaller than the sum of its proper divisors (3127514537).

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

2287134976 is an frugal number, since it uses more digits than its factorization.

2287134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 70 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The cubic root of 2287134976 is about 1317.5403722444.

Multiplying 2287134976 by its sum of digits (49), we get a square (112069613824 = 3347682).

2287134976 divided by its sum of digits (49) gives a square (46676224 = 68322).

The spelling of 2287134976 in words is "two billion, two hundred eighty-seven million, one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 343 392 427 448 488 686 784 854 896 976 1372 1568 1708 1792 1952 2401 2744 2989 3136 3416 3721 3904 4802 5488 5978 6272 6832 7442 7808 9604 10976 11956 12544 13664 14884 15616 19208 20923 21952 23912 26047 27328 29768 38416 41846 43904 47824 52094 54656 59536 76832 83692 87808 95648 104188 109312 119072 146461 153664 167384 182329 191296 208376 238144 292922 307328 334768 364658 382592 416752 476288 585844 614656 669536 729316 765184 833504 952576 1171688 1276303 1339072 1458632 1667008 2343376 2552606 2678144 2917264 3334016 4686752 5105212 5356288 5834528 6668032 8934121 9373504 10210424 11669056 17868242 18747008 20420848 23338112 35736484 37494016 40841696 46676224 71472968 81683392 142945936 163366784 285891872 326733568 571783744 1143567488 2287134976