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227245152 = 253231011019
BaseRepresentation
bin11011000101101…
…11110001100000
3120211121020202010
431202313301200
5431133321102
634314352520
75426360211
oct1542676140
9524536663
10227245152
11107301712
126412b740
13381063b4
1422275408
1514e3bd6c
hexd8b7c60

227245152 has 96 divisors (see below), whose sum is σ = 629233920. Its totient is φ = 71667200.

The previous prime is 227245127. The next prime is 227245177. The reversal of 227245152 is 251542722.

227245152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (227245127) and next prime (227245177).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222499 + ... + 223517.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2227245152 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 227245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314616960).

227245152 is an abundant number, since it is smaller than the sum of its proper divisors (401988768).

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

227245152 is a wasteful number, since it uses less digits than its factorization.

227245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 227245152 is about 15074.6526328138. The cubic root of 227245152 is about 610.2365399947.

Adding to 227245152 its reverse (251542722), we get a palindrome (478787874).

The spelling of 227245152 in words is "two hundred twenty-seven million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 101 138 184 202 276 303 368 404 552 606 736 808 1019 1104 1212 1616 2038 2208 2323 2424 3057 3232 4076 4646 4848 6114 6969 8152 9292 9696 12228 13938 16304 18584 23437 24456 27876 32608 37168 46874 48912 55752 70311 74336 93748 97824 102919 111504 140622 187496 205838 223008 281244 308757 374992 411676 562488 617514 749984 823352 1124976 1235028 1646704 2249952 2367137 2470056 3293408 4734274 4940112 7101411 9468548 9880224 14202822 18937096 28405644 37874192 56811288 75748384 113622576 227245152