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460266228 = 2232176112329
BaseRepresentation
bin11011011011110…
…001101011110100
31012002001221120100
4123123301223310
51420312004403
6113401034100
714256125022
oct3333615364
91162057510
10460266228
11216898914
1210a185930
13744827a6
14451b1712
152a61a2a3
hex1b6f1af4

460266228 has 72 divisors (see below), whose sum is σ = 1252185480. Its totient is φ = 142018560.

The previous prime is 460266223. The next prime is 460266229. The reversal of 460266228 is 822662064.

460266228 is a `hidden beast` number, since 4 + 6 + 0 + 26 + 622 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 451902564 = 2892^2 + 21258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460266192 and 460266201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460266223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31168 + ... + 43496.

It is an arithmetic number, because the mean of its divisors is an integer number (17391465).

Almost surely, 2460266228 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 460266228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626092740).

460266228 is an abundant number, since it is smaller than the sum of its proper divisors (791919252).

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

460266228 is a wasteful number, since it uses less digits than its factorization.

460266228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12417 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 460266228 is about 21453.8161640301. The cubic root of 460266228 is about 772.0931568076.

The spelling of 460266228 in words is "four hundred sixty million, two hundred sixty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 9333 12329 12444 18666 24658 36987 37332 49316 73974 110961 147948 209593 221922 419186 443844 628779 752069 838372 1257558 1504138 1886337 2256207 2515116 3008276 3772674 4512414 6768621 7545348 9024828 12785173 13537242 25570346 27074484 38355519 51140692 76711038 115066557 153422076 230133114 460266228