Search a number
-
+
226007712 = 2533737369
BaseRepresentation
bin11010111100010…
…01101010100000
3120202021101022000
431132021222200
5430324221322
634232044000
75413014420
oct1536115240
9522241260
10226007712
11106636a37
1263833600
1337a92098
1422032480
1514c953ac
hexd789aa0

226007712 has 96 divisors (see below), whose sum is σ = 753379200. Its totient is φ = 64571904.

The previous prime is 226007711. The next prime is 226007723. The reversal of 226007712 is 217700622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226007711) 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 15 ways as a sum of consecutive naturals, for example, 12637 + ... + 24732.

It is an arithmetic number, because the mean of its divisors is an integer number (7847700).

Almost surely, 2226007712 is an apocalyptic number.

It is an amenable number.

226007712 is an abundant number, since it is smaller than the sum of its proper divisors (527371488).

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

226007712 is a wasteful number, since it uses less digits than its factorization.

226007712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395 (or 37381 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 226007712 is about 15033.5528734894. The cubic root of 226007712 is about 609.1268633278.

The spelling of 226007712 in words is "two hundred twenty-six million, seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 37369 74738 112107 149476 224214 261583 298952 336321 448428 523166 597904 672642 784749 896856 1008963 1046332 1195808 1345284 1569498 1793712 2017926 2092664 2354247 2690568 3138996 3587424 4035852 4185328 4708494 5381136 6277992 7062741 8071704 8370656 9416988 10762272 12555984 14125482 16143408 18833976 25111968 28250964 32286816 37667952 56501928 75335904 113003856 226007712