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102230304 = 25311131739
BaseRepresentation
bin1100001011111…
…10100100100000
321010100211121120
412011332210200
5202132332204
614051052240
72350641351
oct605764440
9233324546
10102230304
1152785160
122a2a1080
1318244a07
14d811d28
158e956d9
hex617e920

102230304 has 96 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 30700800.

The previous prime is 102230291. The next prime is 102230339. The reversal of 102230304 is 403032201.

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

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, 137967 + ... + 138705.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 2102230304 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 102230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).

102230304 is an abundant number, since it is smaller than the sum of its proper divisors (193154016).

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

102230304 is a wasteful number, since it uses less digits than its factorization.

102230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102230304 is about 10110.9002566537. The cubic root of 102230304 is about 467.5842607899.

Adding to 102230304 its reverse (403032201), we get a palindrome (505262505).

The spelling of 102230304 in words is "one hundred two million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 131 132 176 262 264 352 393 524 528 739 786 1048 1056 1441 1478 1572 2096 2217 2882 2956 3144 4192 4323 4434 5764 5912 6288 8129 8646 8868 11528 11824 12576 16258 17292 17736 23056 23648 24387 32516 34584 35472 46112 48774 65032 69168 70944 96809 97548 130064 138336 193618 195096 260128 290427 387236 390192 580854 774472 780384 1064899 1161708 1548944 2129798 2323416 3097888 3194697 4259596 4646832 6389394 8519192 9293664 12778788 17038384 25557576 34076768 51115152 102230304