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226275392 = 2674197127
BaseRepresentation
bin11010111110010…
…11000001000000
3120202202222111002
431133023001000
5430411303032
634241511132
75415211010
oct1537130100
9522688432
10226275392
111067aa062
12639424a8
1337b56b85
14220a1c40
1514ce9862
hexd7cb040

226275392 has 112 divisors (see below), whose sum is σ = 535277568. Its totient is φ = 92897280.

The previous prime is 226275377. The next prime is 226275397. The reversal of 226275392 is 293572622.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (226275397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781633 + ... + 1781759.

It is an arithmetic number, because the mean of its divisors is an integer number (4779264).

Almost surely, 2226275392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226275392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267638784).

226275392 is an abundant number, since it is smaller than the sum of its proper divisors (309002176).

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

226275392 is a wasteful number, since it uses less digits than its factorization.

226275392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 226275392 is about 15042.4529914506. The cubic root of 226275392 is about 609.3672485606.

The spelling of 226275392 in words is "two hundred twenty-six million, two hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 97 112 127 164 194 224 254 287 328 388 448 508 574 656 679 776 889 1016 1148 1312 1358 1552 1778 2032 2296 2624 2716 3104 3556 3977 4064 4592 5207 5432 6208 7112 7954 8128 9184 10414 10864 12319 14224 15908 18368 20828 21728 24638 27839 28448 31816 36449 41656 43456 49276 55678 56896 63632 72898 83312 86233 98552 111356 127264 145796 166624 172466 197104 222712 254528 291592 333248 344932 394208 445424 505079 583184 689864 788416 890848 1010158 1166368 1379728 1781696 2020316 2332736 2759456 3535553 4040632 5518912 7071106 8081264 14142212 16162528 28284424 32325056 56568848 113137696 226275392