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102230112 = 25317371693
BaseRepresentation
bin1100001011111…
…10100001100000
321010100211100110
412011332201200
5202132330422
614051051320
72350640655
oct605764140
9233324313
10102230112
1152784aa6
122a2a0b40
13182448ba
14d811c2c
158e9560c
hex617e860

102230112 has 96 divisors (see below), whose sum is σ = 291991392. Its totient is φ = 31186944.

The previous prime is 102230069. The next prime is 102230153. The reversal of 102230112 is 211032201.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 59538 + ... + 61230.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2102230112 is an apocalyptic number.

102230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995696).

102230112 is an abundant number, since it is smaller than the sum of its proper divisors (189761280).

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

102230112 is a wasteful number, since it uses less digits than its factorization.

102230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102230112 is about 10110.8907619458. The cubic root of 102230112 is about 467.5839680645.

Adding to 102230112 its reverse (211032201), we get a palindrome (313262313).

The spelling of 102230112 in words is "one hundred two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 544 592 629 816 888 1184 1258 1632 1693 1776 1887 2516 3386 3552 3774 5032 5079 6772 7548 10064 10158 13544 15096 20128 20316 27088 28781 30192 40632 54176 57562 60384 62641 81264 86343 115124 125282 162528 172686 187923 230248 250564 345372 375846 460496 501128 690744 751692 920992 1002256 1064897 1381488 1503384 2004512 2129794 2762976 3006768 3194691 4259588 6013536 6389382 8519176 12778764 17038352 25557528 34076704 51115056 102230112