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413532228 = 2232983103139
BaseRepresentation
bin11000101001100…
…000000001000100
31001211010121120110
4120221200001010
51321331012403
6105011233020
713150652214
oct3051400104
91054117513
10413532228
111a247897a
12b65a8770
136789bb35
143ccc8244
1526488103
hex18a60044

413532228 has 96 divisors (see below), whose sum is σ = 1027353600. Its totient is φ = 129273984.

The previous prime is 413532227. The next prime is 413532263. The reversal of 413532228 is 822235314.

It is a junction number, because it is equal to n+sod(n) for n = 413532195 and 413532204.

It is not an unprimeable number, because it can be changed into a prime (413532221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974983 + ... + 2975121.

It is an arithmetic number, because the mean of its divisors is an integer number (10701600).

Almost surely, 2413532228 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 413532228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513676800).

413532228 is an abundant number, since it is smaller than the sum of its proper divisors (613821372).

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

413532228 is a wasteful number, since it uses less digits than its factorization.

413532228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 413532228 is about 20335.4918307869. The cubic root of 413532228 is about 745.0231832192.

It can be divided in two parts, 4135 and 32228, that added together give a palindrome (36363).

The spelling of 413532228 in words is "four hundred thirteen million, five hundred thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 83 87 103 116 139 166 174 206 249 278 309 332 348 412 417 498 556 618 834 996 1236 1668 2407 2987 4031 4814 5974 7221 8062 8549 8961 9628 11537 11948 12093 14317 14442 16124 17098 17922 23074 24186 25647 28634 28884 34196 34611 35844 42951 46148 48372 51294 57268 69222 85902 102588 138444 171804 247921 334573 415193 495842 669146 743763 830386 991684 1003719 1188311 1245579 1338292 1487526 1660772 2007438 2376622 2491158 2975052 3564933 4014876 4753244 4982316 7129866 14259732 34461019 68922038 103383057 137844076 206766114 413532228